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22157940 = 2235752757
BaseRepresentation
bin101010010000…
…1101001110100
31112200201222110
41110201221310
521133023230
62110531020
7356224260
oct124415164
945621873
1022157940
1111564652
127506a70
13478a70c
142d2b0a0
151e2a4b0
hex1521a74

22157940 has 48 divisors (see below), whose sum is σ = 70906752. Its totient is φ = 5064576.

The previous prime is 22157923. The next prime is 22157957. The reversal of 22157940 is 4975122.

It is an interprime number because it is at equal distance from previous prime (22157923) and next prime (22157957).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22157898 and 22157907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25959 + ... + 26798.

It is an arithmetic number, because the mean of its divisors is an integer number (1477224).

Almost surely, 222157940 is an apocalyptic number.

22157940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22157940 is an abundant number, since it is smaller than the sum of its proper divisors (48748812).

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

22157940 is a wasteful number, since it uses less digits than its factorization.

22157940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52776 (or 52774 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 22157940 is about 4707.2221107570. Note that the first 3 decimals coincide. The cubic root of 22157940 is about 280.8728713236.

The spelling of 22157940 in words is "twenty-two million, one hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 52757 105514 158271 211028 263785 316542 369299 527570 633084 738598 791355 1055140 1107897 1477196 1582710 1846495 2215794 3165420 3692990 4431588 5539485 7385980 11078970 22157940