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231472944 = 24333831399
BaseRepresentation
bin11011100101111…
…11111100110000
3121010120001012000
431302333330300
5433224113234
634545134000
75510326143
oct1562777460
9533501160
10231472944
1110972a05a
126562a300
1338c56851
1422a5605a
15154c4899
hexdcbff30

231472944 has 80 divisors (see below), whose sum is σ = 666624000. Its totient is φ = 76901184.

The previous prime is 231472933. The next prime is 231472951. The reversal of 231472944 is 449274132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 231472899 and 231472908.

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, 164757 + ... + 166155.

It is an arithmetic number, because the mean of its divisors is an integer number (8332800).

Almost surely, 2231472944 is an apocalyptic number.

231472944 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 231472944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312000).

231472944 is an abundant number, since it is smaller than the sum of its proper divisors (435151056).

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

231472944 is a wasteful number, since it uses less digits than its factorization.

231472944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 231472944 is about 15214.2349133961. The cubic root of 231472944 is about 613.9977011164.

The spelling of 231472944 in words is "two hundred thirty-one million, four hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 383 432 766 1149 1399 1532 2298 2798 3064 3447 4197 4596 5596 6128 6894 8394 9192 10341 11192 12591 13788 16788 18384 20682 22384 25182 27576 33576 37773 41364 50364 55152 67152 75546 82728 100728 151092 165456 201456 302184 535817 604368 1071634 1607451 2143268 3214902 4286536 4822353 6429804 8573072 9644706 12859608 14467059 19289412 25719216 28934118 38578824 57868236 77157648 115736472 231472944