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228752832 = 26371115473
BaseRepresentation
bin11011010001001…
…11110111000000
3120221102211220010
431220213313000
5432030042312
634410544520
75445236610
oct1550476700
9527384803
10228752832
11108141430
1264738140
1338513709
1422548a40
151513893c
hexda27dc0

228752832 has 112 divisors (see below), whose sum is σ = 754636032. Its totient is φ = 59412480.

The previous prime is 228752809. The next prime is 228752857. The reversal of 228752832 is 238257822.

228752832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 7048 + ... + 22520.

Almost surely, 2228752832 is an apocalyptic number.

228752832 is a gapful number since it is divisible by the number (22) 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 228752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377318016).

228752832 is an abundant number, since it is smaller than the sum of its proper divisors (525883200).

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

228752832 is a wasteful number, since it uses less digits than its factorization.

228752832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15506 (or 15496 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 228752832 is about 15124.5770849965. The cubic root of 228752832 is about 611.5831241922.

The spelling of 228752832 in words is "two hundred twenty-eight million, seven hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 15473 30946 46419 61892 92838 108311 123784 170203 185676 216622 247568 324933 340406 371352 433244 495136 510609 649866 680812 742704 866488 990272 1021218 1191421 1299732 1361624 1485408 1732976 2042436 2382842 2599464 2723248 2970816 3465952 3574263 4084872 4765684 5198928 5446496 6931904 7148526 8169744 9531368 10397856 10892992 14297052 16339488 19062736 20795712 28594104 32678976 38125472 57188208 76250944 114376416 228752832