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30213479232 = 2632257204101
BaseRepresentation
bin11100001000110111…
…010001101101000000
32212222121222202211100
4130020313101231000
5443334122313412
621514015414400
72116501223166
oct341067215500
985877882740
1030213479232
11118a47a3152
125a32524400
132b0668b781
141668939236
15bbc746edc
hex708dd1b40

30213479232 has 84 divisors (see below), whose sum is σ = 86938879716. Its totient is φ = 10031923200.

The previous prime is 30213479227. The next prime is 30213479239. The reversal of 30213479232 is 23297431203.

30213479232 is a `hidden beast` number, since 302 + 1 + 347 + 9 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29314918656 + 898560576 = 171216^2 + 29976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30213479239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45982 + ... + 250082.

Almost surely, 230213479232 is an apocalyptic number.

30213479232 is a gapful number since it is divisible by the number (32) 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 30213479232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43469439858).

30213479232 is an abundant number, since it is smaller than the sum of its proper divisors (56725400484).

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

30213479232 is a wasteful number, since it uses less digits than its factorization.

30213479232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204376 (or 204363 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 30213479232 in words is "thirty billion, two hundred thirteen million, four hundred seventy-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 257 288 514 576 771 1028 1542 2056 2313 3084 4112 4626 6168 8224 9252 12336 16448 18504 24672 37008 49344 74016 148032 204101 408202 612303 816404 1224606 1632808 1836909 2449212 3265616 3673818 4898424 6531232 7347636 9796848 13062464 14695272 19593696 29390544 39187392 52453957 58781088 104907914 117562176 157361871 209815828 314723742 419631656 472085613 629447484 839263312 944171226 1258894968 1678526624 1888342452 2517789936 3357053248 3776684904 5035579872 7553369808 10071159744 15106739616 30213479232