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21890232 = 23327132257
BaseRepresentation
bin101001110000…
…0010010111000
31112012010202100
41103200102320
521100441412
62101103400
7354030630
oct123402270
945163670
1021890232
11113a1501
1273b7b60
1346c5900
142c9b6c0
151dc5edc
hex14e04b8

21890232 has 144 divisors (see below), whose sum is σ = 73653840. Its totient is φ = 5750784.

The previous prime is 21890221. The next prime is 21890243. The reversal of 21890232 is 23209812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21890221) and next prime (21890243).

It is a junction number, because it is equal to n+sod(n) for n = 21890196 and 21890205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85048 + ... + 85304.

It is an arithmetic number, because the mean of its divisors is an integer number (511485).

Almost surely, 221890232 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 21890232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36826920).

21890232 is an abundant number, since it is smaller than the sum of its proper divisors (51763608).

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

21890232 is a wasteful number, since it uses less digits than its factorization.

21890232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21890232 is about 4678.6998193943. The cubic root of 21890232 is about 279.7371342496.

It can be divided in two parts, 21890 and 232, that added together give a palindrome (22122).

The spelling of 21890232 in words is "twenty-one million, eight hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 257 273 312 338 364 468 504 507 514 546 676 728 771 819 936 1014 1028 1092 1183 1352 1521 1542 1638 1799 2028 2056 2184 2313 2366 3042 3084 3276 3341 3549 3598 4056 4626 4732 5397 6084 6168 6552 6682 7098 7196 9252 9464 10023 10647 10794 12168 13364 14196 14392 16191 18504 20046 21294 21588 23387 26728 28392 30069 32382 40092 42588 43176 43433 46774 60138 64764 70161 80184 85176 86866 93548 120276 129528 130299 140322 173732 187096 210483 240552 260598 280644 304031 347464 390897 420966 521196 561288 608062 781794 841932 912093 1042392 1216124 1563588 1683864 1824186 2432248 2736279 3127176 3648372 5472558 7296744 10945116 21890232