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22952960 = 21054483
BaseRepresentation
bin101011110001…
…1110000000000
31121012010112122
41113203300000
521333443320
62135543412
7366045152
oct127436000
947163478
1022952960
1111a57998
12782ab68
1349a8544
143096ad2
152035d25
hex15e3c00

22952960 has 44 divisors (see below), whose sum is σ = 55072488. Its totient is φ = 9179136.

The previous prime is 22952953. The next prime is 22952971. The reversal of 22952960 is 6925922.

It is a self number, because there is not a number n which added to its sum of digits gives 22952960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2879 + ... + 7361.

Almost surely, 222952960 is an apocalyptic number.

22952960 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 22952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27536244).

22952960 is an abundant number, since it is smaller than the sum of its proper divisors (32119528).

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

22952960 is an equidigital number, since it uses as much as digits as its factorization.

22952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 22952960 is about 4790.9247541576. The cubic root of 22952960 is about 284.1926881207.

The spelling of 22952960 in words is "twenty-two million, nine hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 4483 5120 8966 17932 22415 35864 44830 71728 89660 143456 179320 286912 358640 573824 717280 1147648 1434560 2295296 2869120 4590592 5738240 11476480 22952960