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22745952 = 253278979
BaseRepresentation
bin101011011000…
…1001101100000
31120210121120200
41112301031200
521310332302
62131305200
7364223505
oct126611540
946717520
1022745952
1111926409
12774b200
134935258
1430414ac
151ee481c
hex15b1360

22745952 has 36 divisors (see below), whose sum is σ = 64684620. Its totient is φ = 7581888.

The previous prime is 22745951. The next prime is 22745969. The reversal of 22745952 is 25954722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22745951) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 39202 + ... + 39777.

It is an arithmetic number, because the mean of its divisors is an integer number (1796795).

Almost surely, 222745952 is an apocalyptic number.

It is an amenable number.

22745952 is an abundant number, since it is smaller than the sum of its proper divisors (41938668).

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

22745952 is a wasteful number, since it uses less digits than its factorization.

22745952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78995 (or 78984 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 22745952 is about 4769.2716425048. The cubic root of 22745952 is about 283.3357483839.

The spelling of 22745952 in words is "twenty-two million, seven hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 78979 157958 236937 315916 473874 631832 710811 947748 1263664 1421622 1895496 2527328 2843244 3790992 5686488 7581984 11372976 22745952