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22893920 = 255720441
BaseRepresentation
bin101011101010…
…1010101100000
31121002010112222
41113111111200
521330101140
62134410212
7365411060
oct127252540
947063488
1022893920
1111a175a5
127800968
1349876ca
14307d3a0
1520235b5
hex15d5560

22893920 has 48 divisors (see below), whose sum is σ = 61816608. Its totient is φ = 7848960.

The previous prime is 22893907. The next prime is 22893943. The reversal of 22893920 is 2939822.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 9101 + ... + 11340.

It is an arithmetic number, because the mean of its divisors is an integer number (1287846).

Almost surely, 222893920 is an apocalyptic number.

22893920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22893920 is an abundant number, since it is smaller than the sum of its proper divisors (38922688).

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

22893920 is a wasteful number, since it uses less digits than its factorization.

22893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20463 (or 20455 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 22893920 is about 4784.7591370935. The cubic root of 22893920 is about 283.9488104525.

The spelling of 22893920 in words is "twenty-two million, eight hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 20441 40882 81764 102205 143087 163528 204410 286174 327056 408820 572348 654112 715435 817640 1144696 1430870 1635280 2289392 2861740 3270560 4578784 5723480 11446960 22893920