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232831104 = 2731125011
BaseRepresentation
bin11011110000010…
…11100010000000
3121020010001020020
431320023202000
5434101043404
635034213440
75525013612
oct1570134200
9536101206
10232831104
1110a477500
1265b84280
1339310aac
1422ccadb2
1515691ed9
hexde0b880

232831104 has 96 divisors (see below), whose sum is σ = 679927920. Its totient is φ = 70540800.

The previous prime is 232831061. The next prime is 232831117. The reversal of 232831104 is 401138232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43959 + ... + 48969.

Almost surely, 2232831104 is an apocalyptic number.

232831104 is a gapful number since it is divisible by the number (24) 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 232831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339963960).

232831104 is an abundant number, since it is smaller than the sum of its proper divisors (447096816).

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

232831104 is a wasteful number, since it uses less digits than its factorization.

232831104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 232831104 is about 15258.8041471145. The cubic root of 232831104 is about 615.1962305929.

Adding to 232831104 its reverse (401138232), we get a palindrome (633969336).

The spelling of 232831104 in words is "two hundred thirty-two million, eight hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5011 5808 7744 10022 11616 15033 15488 20044 23232 30066 40088 46464 55121 60132 80176 110242 120264 160352 165363 220484 240528 320704 330726 440968 481056 606331 641408 661452 881936 962112 1212662 1322904 1763872 1818993 1924224 2425324 2645808 3527744 3637986 4850648 5291616 7055488 7275972 9701296 10583232 14551944 19402592 21166464 29103888 38805184 58207776 77610368 116415552 232831104