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2113023232 = 2837415441
BaseRepresentation
bin111110111110010…
…0010110100000000
312110021000200221201
41331330202310000
513311413220412
6545401230544
7103235254405
oct17574426400
95407020851
102113023232
119948236a1
124ab792454
132789ca808
141608ba2ac
15c578ae57
hex7df22d00

2113023232 has 72 divisors (see below), whose sum is σ = 4438255752. Its totient is φ = 1002700800.

The previous prime is 2113023217. The next prime is 2113023233. The reversal of 2113023232 is 2323203112.

It can be written as a sum of positive squares in 4 ways, for example, as 410305536 + 1702717696 = 20256^2 + 41264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113023233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385632 + ... + 391072.

It is an arithmetic number, because the mean of its divisors is an integer number (61642441).

Almost surely, 22113023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219127876).

2113023232 is an abundant number, since it is smaller than the sum of its proper divisors (2325232520).

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

2113023232 is an equidigital number, since it uses as much as digits as its factorization.

2113023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2113023232 is about 45967.6324384887. The cubic root of 2113023232 is about 1283.2208987834.

Adding to 2113023232 its reverse (2323203112), we get a palindrome (4436226344).

The spelling of 2113023232 in words is "two billion, one hundred thirteen million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 256 296 328 592 656 1184 1312 1517 2368 2624 3034 4736 5248 5441 6068 9472 10496 10882 12136 21764 24272 43528 48544 87056 97088 174112 194176 201317 223081 348224 388352 402634 446162 696448 805268 892324 1392896 1610536 1784648 3221072 3569296 6442144 7138592 8253997 12884288 14277184 16507994 25768576 28554368 33015988 51537152 57108736 66031976 132063952 264127904 528255808 1056511616 2113023232