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235306432224 = 2532817036223
BaseRepresentation
bin1101101100100101011…
…0110011011011100000
3211111100220120021102100
43123021112303123200
512323401421312344
6300033121250400
723000053446513
oct3331126633340
9744326507370
10235306432224
119087a38a306
123972b793a00
131925cb835a6
14b563196d7a
1561c2d84569
hex36c95b36e0

235306432224 has 36 divisors (see below), whose sum is σ = 669152667456. Its totient is φ = 78435477312.

The previous prime is 235306432223. The next prime is 235306432241. The reversal of 235306432224 is 422234603532.

235306432224 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 0 + 643 + 2 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 (235306432223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 408517824 + ... + 408518399.

It is an arithmetic number, because the mean of its divisors is an integer number (18587574096).

Almost surely, 2235306432224 is an apocalyptic number.

235306432224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

235306432224 is an abundant number, since it is smaller than the sum of its proper divisors (433846235232).

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

235306432224 is a wasteful number, since it uses less digits than its factorization.

235306432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817036239 (or 817036228 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 235306432224 in words is "two hundred thirty-five billion, three hundred six million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 817036223 1634072446 2451108669 3268144892 4902217338 6536289784 7353326007 9804434676 13072579568 14706652014 19608869352 26145159136 29413304028 39217738704 58826608056 78435477408 117653216112 235306432224