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232031040 = 26351912721
BaseRepresentation
bin11011101010010…
…00001101000000
3121011121101202020
431311020031000
5433344443130
635005121440
75515142223
oct1565101500
9534541666
10232031040
11109a8039a
1265859280
13390c0897
1422b5d5ba
1515584e10
hexdd48340

232031040 has 112 divisors (see below), whose sum is σ = 775533120. Its totient is φ = 58613760.

The previous prime is 232031029. The next prime is 232031047. The reversal of 232031040 is 40130232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232031047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11880 + ... + 24600.

Almost surely, 2232031040 is an apocalyptic number.

232031040 is a gapful number since it is divisible by the number (20) 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 232031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387766560).

232031040 is an abundant number, since it is smaller than the sum of its proper divisors (543502080).

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

232031040 is a wasteful number, since it uses less digits than its factorization.

232031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12760 (or 12750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232031040 is about 15232.5651155674. The cubic root of 232031040 is about 614.4907675686.

Adding to 232031040 its reverse (40130232), we get a palindrome (272161272).

The spelling of 232031040 in words is "two hundred thirty-two million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 12721 18240 25442 38163 50884 63605 76326 101768 127210 152652 190815 203536 241699 254420 305304 381630 407072 483398 508840 610608 725097 763260 814144 966796 1017680 1208495 1221216 1450194 1526520 1933592 2035360 2416990 2442432 2900388 3053040 3625485 3867184 4070720 4833980 5800776 6106080 7250970 7734368 9667960 11601552 12212160 14501940 15468736 19335920 23203104 29003880 38671840 46406208 58007760 77343680 116015520 232031040