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233130304 = 26111929601
BaseRepresentation
bin11011110010101…
…00100101000000
3121020200020122201
431321110211000
5434140132204
635044442544
75530401121
oct1571244500
9536606581
10233130304
1110a661280
12660a9454
13393b7034
1422d68048
15157009a4
hexde54940

233130304 has 112 divisors (see below), whose sum is σ = 550468800. Its totient is φ = 96768000.

The previous prime is 233130269. The next prime is 233130329. The reversal of 233130304 is 403031332.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387604 + ... + 388204.

It is an arithmetic number, because the mean of its divisors is an integer number (4914900).

Almost surely, 2233130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275234400).

233130304 is an abundant number, since it is smaller than the sum of its proper divisors (317338496).

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

233130304 is a wasteful number, since it uses less digits than its factorization.

233130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 233130304 is about 15268.6051753263. The cubic root of 233130304 is about 615.4596374434.

Adding to 233130304 its reverse (403031332), we get a palindrome (636161636).

The spelling of 233130304 in words is "two hundred thirty-three million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 64 76 88 116 152 176 209 232 304 319 352 418 464 551 601 608 638 704 836 928 1102 1202 1216 1276 1672 1856 2204 2404 2552 3344 4408 4808 5104 6061 6611 6688 8816 9616 10208 11419 12122 13222 13376 17429 17632 19232 20416 22838 24244 26444 34858 35264 38464 45676 48488 52888 69716 91352 96976 105776 125609 139432 182704 191719 193952 211552 251218 278864 331151 365408 383438 387904 423104 502436 557728 662302 730816 766876 1004872 1115456 1324604 1533752 2009744 2649208 3067504 3642661 4019488 5298416 6135008 7285322 8038976 10596832 12270016 14570644 21193664 29141288 58282576 116565152 233130304