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22973040 = 2432531907
BaseRepresentation
bin101011110100…
…0101001110000
31121020011002100
41113220221300
521340114130
62140220400
7366160536
oct127505160
947204070
1022973040
1111a70a92
12783a700
1349b471c
1430a0156
15203bc60
hex15e8a70

22973040 has 60 divisors (see below), whose sum is σ = 77153544. Its totient is φ = 6125952.

The previous prime is 22973003. The next prime is 22973053. The reversal of 22973040 is 4037922.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 22972995 and 22973013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15234 + ... + 16673.

Almost surely, 222973040 is an apocalyptic number.

22973040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22973040 is an abundant number, since it is smaller than the sum of its proper divisors (54180504).

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

22973040 is a wasteful number, since it uses less digits than its factorization.

22973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31926 (or 31917 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 22973040 is about 4793.0199248491. The cubic root of 22973040 is about 284.2755376512.

The spelling of 22973040 in words is "twenty-two million, nine hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 31907 63814 95721 127628 159535 191442 255256 287163 319070 382884 478605 510512 574326 638140 765768 957210 1148652 1276280 1435815 1531536 1914420 2297304 2552560 2871630 3828840 4594608 5743260 7657680 11486520 22973040