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20112022200 = 23352151221987
BaseRepresentation
bin10010101110110001…
…010001101010111000
31220220122022120211010
4102232301101222320
5312142134202300
613123410233520
71311252240144
oct225661215270
956818276733
1020112022200
118590791a56
123a935858a0
131b8696a56a
14d8b126224
157ca9e7a50
hex4aec51ab8

20112022200 has 96 divisors (see below), whose sum is σ = 62760447360. Its totient is φ = 5327664000.

The previous prime is 20112022163. The next prime is 20112022223. The reversal of 20112022200 is 222021102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20394 + ... + 201593.

It is an arithmetic number, because the mean of its divisors is an integer number (653754660).

Almost surely, 220112022200 is an apocalyptic number.

20112022200 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 20112022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31380223680).

20112022200 is an abundant number, since it is smaller than the sum of its proper divisors (42648425160).

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

20112022200 is a wasteful number, since it uses less digits than its factorization.

20112022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222157 (or 222148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20112022200 its reverse (222021102), we get a palindrome (20334043302).

The spelling of 20112022200 in words is "twenty billion, one hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 151 200 300 302 453 600 604 755 906 1208 1510 1812 2265 3020 3624 3775 4530 6040 7550 9060 11325 15100 18120 22650 30200 45300 90600 221987 443974 665961 887948 1109935 1331922 1775896 2219870 2663844 3329805 4439740 5327688 5549675 6659610 8879480 11099350 13319220 16649025 22198700 26638440 33298050 33520037 44397400 66596100 67040074 100560111 133192200 134080148 167600185 201120222 268160296 335200370 402240444 502800555 670400740 804480888 838000925 1005601110 1340801480 1676001850 2011202220 2514002775 3352003700 4022404440 5028005550 6704007400 10056011100 20112022200