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21191232 = 2631937157
BaseRepresentation
bin101000011010…
…1101001000000
31110212121220110
41100311221000
520411104412
62034111320
7345060006
oct120655100
943777813
1021191232
1110a64317
12711b540
13450c6ba
142b58a76
151cd8d3c
hex1435a40

21191232 has 112 divisors (see below), whose sum is σ = 61000640. Its totient is φ = 6469632.

The previous prime is 21191201. The next prime is 21191239. The reversal of 21191232 is 23219112.

It is a junction number, because it is equal to n+sod(n) for n = 21191199 and 21191208.

It is not an unprimeable number, because it can be changed into a prime (21191239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134898 + ... + 135054.

Almost surely, 221191232 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 21191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30500320).

21191232 is an abundant number, since it is smaller than the sum of its proper divisors (39809408).

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

21191232 is a wasteful number, since it uses less digits than its factorization.

21191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 21191232 is about 4603.3935308639. The cubic root of 21191232 is about 276.7273401230.

The spelling of 21191232 in words is "twenty-one million, one hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 148 152 157 192 222 228 296 304 314 444 456 471 592 608 628 703 888 912 942 1184 1216 1256 1406 1776 1824 1884 2109 2368 2512 2812 2983 3552 3648 3768 4218 5024 5624 5809 5966 7104 7536 8436 8949 10048 11248 11618 11932 15072 16872 17427 17898 22496 23236 23864 30144 33744 34854 35796 44992 46472 47728 67488 69708 71592 92944 95456 110371 134976 139416 143184 185888 190912 220742 278832 286368 331113 371776 441484 557664 572736 662226 882968 1115328 1324452 1765936 2648904 3531872 5297808 7063744 10595616 21191232