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22939920 = 24325151211
BaseRepresentation
bin101011110000…
…0100100010000
31121011110122200
41113200210100
521333034140
62135403200
7365662143
oct127404420
947143580
1022939920
1111a49113
127823500
1349a2623
14309205a
152032030
hex15e0910

22939920 has 120 divisors (see below), whose sum is σ = 77917632. Its totient is φ = 6048000.

The previous prime is 22939913. The next prime is 22939933. The reversal of 22939920 is 2993922.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108615 + ... + 108825.

Almost surely, 222939920 is an apocalyptic number.

22939920 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 22939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38958816).

22939920 is an abundant number, since it is smaller than the sum of its proper divisors (54977712).

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

22939920 is a wasteful number, since it uses less digits than its factorization.

22939920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 22939920 is about 4789.5636544470. The cubic root of 22939920 is about 284.1388595561.

The spelling of 22939920 in words is "twenty-two million, nine hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 151 180 211 240 302 360 422 453 604 633 720 755 844 906 1055 1208 1266 1359 1510 1688 1812 1899 2110 2265 2416 2532 2718 3020 3165 3376 3624 3798 4220 4530 5064 5436 6040 6330 6795 7248 7596 8440 9060 9495 10128 10872 12080 12660 13590 15192 16880 18120 18990 21744 25320 27180 30384 31861 36240 37980 50640 54360 63722 75960 95583 108720 127444 151920 159305 191166 254888 286749 318610 382332 477915 509776 573498 637220 764664 955830 1146996 1274440 1433745 1529328 1911660 2293992 2548880 2867490 3823320 4587984 5734980 7646640 11469960 22939920