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232313004 = 2232711431949
BaseRepresentation
bin11011101100011…
…01000010101100
3121012010201112100
431312031002230
5433433004004
635015135100
75520425250
oct1566150254
9535121470
10232313004
1110a153220
1265974490
133918c021
1422bd4260
15155dd739
hexdd8d0ac

232313004 has 144 divisors (see below), whose sum is σ = 749548800. Its totient is φ = 58907520.

The previous prime is 232312999. The next prime is 232313021. The reversal of 232313004 is 400313232.

232313004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2323130043 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118222 + ... + 120170.

It is an arithmetic number, because the mean of its divisors is an integer number (5205200).

Almost surely, 2232313004 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 232313004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374774400).

232313004 is an abundant number, since it is smaller than the sum of its proper divisors (517235796).

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

232313004 is a wasteful number, since it uses less digits than its factorization.

232313004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232313004 is about 15241.8176081463. The cubic root of 232313004 is about 614.7395764329.

Adding to 232313004 its reverse (400313232), we get a palindrome (632626236).

It can be divided in two parts, 232 and 313004, that added together give a triangular number (313236 = T791).

The spelling of 232313004 in words is "two hundred thirty-two million, three hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 172 198 231 252 258 301 308 387 396 462 473 516 602 693 774 903 924 946 1204 1386 1419 1548 1806 1892 1949 2709 2772 2838 3311 3612 3898 4257 5418 5676 5847 6622 7796 8514 9933 10836 11694 13244 13643 17028 17541 19866 21439 23388 27286 29799 35082 39732 40929 42878 54572 59598 64317 70164 81858 83807 85756 119196 122787 128634 150073 163716 167614 192951 245574 251421 257268 300146 335228 385902 450219 491148 502842 586649 600292 754263 771804 900438 921877 1005684 1173298 1350657 1508526 1759947 1800876 1843754 2346596 2701314 2765631 3017052 3519894 3687508 5279841 5402628 5531262 6453139 7039788 8296893 10559682 11062524 12906278 16593786 19359417 21119364 25812556 33187572 38718834 58078251 77437668 116156502 232313004