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22494960 = 24325157199
BaseRepresentation
bin101010111001…
…1111011110000
31120022212021200
41111303323300
521224314320
62122051200
7362126655
oct125637360
946285250
1022494960
1111774884
127649b00
134877c37
142db7c2c
151e95290
hex1573ef0

22494960 has 120 divisors (see below), whose sum is σ = 76408800. Its totient is φ = 5930496.

The previous prime is 22494959. The next prime is 22494971. The reversal of 22494960 is 6949422.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112941 + ... + 113139.

It is an arithmetic number, because the mean of its divisors is an integer number (636740).

Almost surely, 222494960 is an apocalyptic number.

22494960 is a gapful number since it is divisible by the number (20) 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 22494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38204400).

22494960 is an abundant number, since it is smaller than the sum of its proper divisors (53913840).

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

22494960 is a wasteful number, since it uses less digits than its factorization.

22494960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 22494960 is about 4742.8851978516. The cubic root of 22494960 is about 282.2897278832.

The spelling of 22494960 in words is "twenty-two million, four hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 157 180 199 240 314 360 398 471 597 628 720 785 796 942 995 1194 1256 1413 1570 1592 1791 1884 1990 2355 2388 2512 2826 2985 3140 3184 3582 3768 3980 4710 4776 5652 5970 6280 7065 7164 7536 7960 8955 9420 9552 11304 11940 12560 14130 14328 15920 17910 18840 22608 23880 28260 28656 31243 35820 37680 47760 56520 62486 71640 93729 113040 124972 143280 156215 187458 249944 281187 312430 374916 468645 499888 562374 624860 749832 937290 1124748 1249720 1405935 1499664 1874580 2249496 2499440 2811870 3749160 4498992 5623740 7498320 11247480 22494960