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22000440002200 = 235211390912
BaseRepresentation
bin1010000000010011000000…
…11010010100011010011000
32212220012222111020210011121
411000021200122110122120
510340423400120032300
6114442510153535024
74430323261336132
oct500114032243230
985805874223147
1022000440002200
117012374916000
1225739baa14474
13c3782ba5422a
14560b81326052
152824367c981a
hex140260694698

22000440002200 has 144 divisors (see below), whose sum is σ = 56268471723480. Its totient is φ = 7999279992000.

The previous prime is 22000440002171. The next prime is 22000440002201. The reversal of 22000440002200 is 220004400022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000440002201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2420019655 + ... + 2420028745.

Almost surely, 222000440002200 is an apocalyptic number.

22000440002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000440002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28134235861740).

22000440002200 is an abundant number, since it is smaller than the sum of its proper divisors (34268031721280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22000440002200 is an frugal number, since it uses more digits than its factorization.

22000440002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18231 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22000440002200 its reverse (220004400022), we get a palindrome (22220444402222).

22000440002200 divided by its reverse (220004400022) gives a square (100 = 102).

It can be divided in two parts, 220004 and 40002200, that added together give a palindrome (40222204).

The spelling of 22000440002200 in words is "twenty-two trillion, four hundred forty million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1331 2200 2420 2662 3025 4840 5324 6050 6655 9091 10648 12100 13310 18182 24200 26620 33275 36364 45455 53240 66550 72728 90910 100001 133100 181820 200002 227275 266200 363640 400004 454550 500005 800008 909100 1000010 1100011 1818200 2000020 2200022 2500025 4000040 4400044 5000050 5500055 8800088 10000100 11000110 12100121 20000200 22000220 24200242 27500275 44000440 48400484 55000550 60500605 82646281 96800968 110001100 121001210 165292562 220002200 242002420 302503025 330585124 413231405 484004840 605006050 661170248 826462810 909109091 1210012100 1652925620 1818218182 2066157025 2420024200 3305851240 3636436364 4132314050 4545545455 7272872728 8264628100 9091090910 10000200001 16529256200 18182181820 20000400002 22727727275 36364363640 40000800004 45455454550 50001000005 80001600008 90910909100 100002000010 110002200011 181821818200 200004000020 220004400022 250005000025 400008000040 440008800044 500010000050 550011000055 880017600088 1000020000100 1100022000110 2000040000200 2200044000220 2750055000275 4400088000440 5500110000550 11000220001100 22000440002200