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233110324225 = 5261215832
BaseRepresentation
bin1101100100011001110…
…1010100010000000001
3211021200212012102121001
43121012131110100001
512304402220333400
6255031151132001
722561456030342
oct3310635242001
9737625172531
10233110324225
118a952778919
1239218214001
1318c9cbb55bc
14b3d56500c9
1560e5185a6a
hex3646754401

233110324225 has 27 divisors (see below), whose sum is σ = 294058881129. Its totient is φ = 183315199200.

The previous prime is 233110324211. The next prime is 233110324241. The reversal of 233110324225 is 522423011332.

It is a happy number.

The square root of 233110324225 is 482815.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 107374837761 + 125735486464 = 327681^2 + 354592^2 .

It is not a de Polignac number, because 233110324225 - 227 = 232976106497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233110324193 and 233110324202.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147257784 + ... + 147259366.

Almost surely, 2233110324225 is an apocalyptic number.

233110324225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

233110324225 is the 482815-th square number.

233110324225 is the 241408-th centered octagonal number.

It is an amenable number.

233110324225 is a deficient number, since it is larger than the sum of its proper divisors (60948556904).

233110324225 is an frugal number, since it uses more digits than its factorization.

233110324225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 233110324225 its reverse (522423011332), we get a palindrome (755533335557).

The spelling of 233110324225 in words is "two hundred thirty-three billion, one hundred ten million, three hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 61 305 1525 1583 3721 7915 18605 39575 93025 96563 482815 2414075 2505889 5890343 12529445 29451715 62647225 147258575 152859229 764296145 3821480725 9324412969 46622064845 233110324225