Search a number
-
+
2043215200 = 255213223881
BaseRepresentation
bin111100111001000…
…1111110101100000
312021101200002100001
41321302033311200
513141030341300
6534425105344
7101430020425
oct17162176540
95241602301
102043215200
11959383904
12490328254
132673c84a0
14155507d4c
15be59c16a
hex79c8fd60

2043215200 has 144 divisors (see below), whose sum is σ = 5401904256. Its totient is φ = 750182400.

The previous prime is 2043215171. The next prime is 2043215231. The reversal of 2043215200 is 25123402.

It is a super-2 number, since 2×20432152002 = 8349456707022080000, which contains 22 as substring.

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, 2318760 + ... + 2319640.

It is an arithmetic number, because the mean of its divisors is an integer number (37513224).

Almost surely, 22043215200 is an apocalyptic number.

2043215200 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 2043215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700952128).

2043215200 is an abundant number, since it is smaller than the sum of its proper divisors (3358689056).

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

2043215200 is a wasteful number, since it uses less digits than its factorization.

2043215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2043215200 is about 45201.9380115499. The cubic root of 2043215200 is about 1268.9310864501.

Adding to 2043215200 its reverse (25123402), we get a palindrome (2068338602).

The spelling of 2043215200 in words is "two billion, forty-three million, two hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 223 260 325 400 416 446 520 650 800 881 892 1040 1115 1300 1762 1784 2080 2230 2600 2899 3524 3568 4405 4460 5200 5575 5798 7048 7136 8810 8920 10400 11150 11453 11596 14096 14495 17620 17840 22025 22300 22906 23192 28192 28990 35240 35680 44050 44600 45812 46384 57265 57980 70480 72475 88100 89200 91624 92768 114530 115960 140960 144950 176200 178400 183248 196463 229060 231920 286325 289900 352400 366496 392926 458120 463840 572650 579800 704800 785852 916240 982315 1145300 1159600 1571704 1832480 1964630 2290600 2319200 2554019 3143408 3929260 4581200 4911575 5108038 6286816 7858520 9162400 9823150 10216076 12770095 15717040 19646300 20432152 25540190 31434080 39292600 40864304 51080380 63850475 78585200 81728608 102160760 127700950 157170400 204321520 255401900 408643040 510803800 1021607600 2043215200