Search a number
-
+
233233052363604 = 223313228716324849
BaseRepresentation
bin110101000001111111001101…
…001111000110101101010100
31010120210212021102201211002000
4311001333031033012231110
5221032242242401113404
62144013441325115300
7100061350314460206
oct6501771517065524
91116725242654060
10233233052363604
1168351644760257
12221aa1653b8b30
13a01aa230cb997
14418477b94a776
151be6dd85e4339
hexd41fcd3c6b54

233233052363604 has 48 divisors (see below), whose sum is σ = 604682891904000. Its totient is φ = 77743758331008.

The previous prime is 233233052363603. The next prime is 233233052363627. The reversal of 233233052363604 is 406363250332332.

233233052363604 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 3 + 3 + 0 + 5 + 2 + 3 + 636 + 0 + 4 = 666.

It is a super-2 number, since 2×2332330523636042 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233233052363604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233233052363603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6124572 + ... + 22449420.

It is an arithmetic number, because the mean of its divisors is an integer number (12597560248000).

Almost surely, 2233233052363604 is an apocalyptic number.

It is an amenable number.

233233052363604 is an abundant number, since it is smaller than the sum of its proper divisors (371449839540396).

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

233233052363604 is a wasteful number, since it uses less digits than its factorization.

233233052363604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16457149 (or 16457141 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 45.

The spelling of 233233052363604 in words is "two hundred thirty-three trillion, two hundred thirty-three billion, fifty-two million, three hundred sixty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 132287 264574 396861 529148 793722 1190583 1587444 2381166 3571749 4762332 7143498 14286996 16324849 32649698 48974547 65299396 97949094 146923641 195898188 293847282 440770923 587694564 881541846 1763083692 2159565299663 4319130599326 6478695898989 8638261198652 12957391797978 19436087696967 25914783595956 38872175393934 58308263090901 77744350787868 116616526181802 233233052363604