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22056960 = 21235359
BaseRepresentation
bin101010000100…
…1000000000000
31112111121110110
41110021000000
521121310320
62104431320
7355324002
oct124110000
945447413
1022056960
11114a57a2
127478540
134753773
142d02372
151e0a5e0
hex1509000

22056960 has 104 divisors (see below), whose sum is σ = 70770240. Its totient is φ = 5865472.

The previous prime is 22056911. The next prime is 22056989. The reversal of 22056960 is 6965022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61261 + ... + 61619.

Almost surely, 222056960 is an apocalyptic number.

22056960 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 22056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35385120).

22056960 is an abundant number, since it is smaller than the sum of its proper divisors (48713280).

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

22056960 is an equidigital number, since it uses as much as digits as its factorization.

22056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 22056960 is about 4696.4837910931. The cubic root of 22056960 is about 280.4455491486.

The spelling of 22056960 in words is "twenty-two million, fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 359 384 480 512 640 718 768 960 1024 1077 1280 1436 1536 1795 1920 2048 2154 2560 2872 3072 3590 3840 4096 4308 5120 5385 5744 6144 7180 7680 8616 10240 10770 11488 12288 14360 15360 17232 20480 21540 22976 28720 30720 34464 43080 45952 57440 61440 68928 86160 91904 114880 137856 172320 183808 229760 275712 344640 367616 459520 551424 689280 735232 919040 1102848 1378560 1470464 1838080 2205696 2757120 3676160 4411392 5514240 7352320 11028480 22056960