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232304512 = 2711253283
BaseRepresentation
bin11011101100010…
…10111110000000
3121012010021212211
431312022332000
5433432221022
635015031504
75520361426
oct1566127600
9535107784
10232304512
1110a147900
126596b594
13391881bb
1422bd1116
15155dae77
hexdd8af80

232304512 has 96 divisors (see below), whose sum is σ = 520120440. Its totient is φ = 103234560.

The previous prime is 232304491. The next prime is 232304519. The reversal of 232304512 is 215403232.

232304512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232304519) 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, 820723 + ... + 821005.

Almost surely, 2232304512 is an apocalyptic number.

232304512 is a gapful number since it is divisible by the number (22) 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 232304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260060220).

232304512 is an abundant number, since it is smaller than the sum of its proper divisors (287815928).

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

232304512 is a wasteful number, since it uses less digits than its factorization.

232304512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 232304512 is about 15241.5390299011. The cubic root of 232304512 is about 614.7320859179.

Adding to 232304512 its reverse (215403232), we get a palindrome (447707744).

The spelling of 232304512 in words is "two hundred thirty-two million, three hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 121 128 176 212 242 283 352 424 484 566 583 704 848 968 1132 1166 1408 1696 1936 2264 2332 3113 3392 3872 4528 4664 6226 6413 6784 7744 9056 9328 12452 12826 14999 15488 18112 18656 24904 25652 29998 34243 36224 37312 49808 51304 59996 68486 74624 99616 102608 119992 136972 164989 199232 205216 239984 273944 329978 398464 410432 479968 547888 659956 820864 959936 1095776 1319912 1814879 1919872 2191552 2639824 3629758 4383104 5279648 7259516 10559296 14519032 21118592 29038064 58076128 116152256 232304512