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22483968 = 210313563
BaseRepresentation
bin101010111000…
…1010000000000
31120022022012120
41111301100000
521223441333
62121524240
7362052633
oct125612000
946268176
1022483968
11117675a1
127643680
134872c30
142db3c1a
151e91db3
hex1571400

22483968 has 88 divisors (see below), whose sum is σ = 64652448. Its totient is φ = 6905856.

The previous prime is 22483939. The next prime is 22483987. The reversal of 22483968 is 86938422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39655 + ... + 40217.

Almost surely, 222483968 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 22483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32326224).

22483968 is an abundant number, since it is smaller than the sum of its proper divisors (42168480).

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

22483968 is a wasteful number, since it uses less digits than its factorization.

22483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 22483968 is about 4741.7262679324. The cubic root of 22483968 is about 282.2437407786.

It can be divided in two parts, 2248 and 3968, that added together give a triangular number (6216 = T111).

The spelling of 22483968 in words is "twenty-two million, four hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 563 624 768 832 1024 1126 1248 1536 1664 1689 2252 2496 3072 3328 3378 4504 4992 6656 6756 7319 9008 9984 13312 13512 14638 18016 19968 21957 27024 29276 36032 39936 43914 54048 58552 72064 87828 108096 117104 144128 175656 216192 234208 288256 351312 432384 468416 576512 702624 864768 936832 1405248 1729536 1873664 2810496 3747328 5620992 7494656 11241984 22483968