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10222048160 = 255611047341
BaseRepresentation
bin10011000010100100…
…00001001110100000
3222101101120211221022
421201102001032200
5131413321020120
64410153545012
7511211655452
oct114122011640
928341524838
1010222048160
114376097095
121b93415168
13c6b9c420c
146cd8442d2
153ec620025
hex2614813a0

10222048160 has 48 divisors (see below), whose sum is σ = 24545507112. Its totient is φ = 4021785600.

The previous prime is 10222048157. The next prime is 10222048219. The reversal of 10222048160 is 6184022201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8356153744 + 1865894416 = 91412^2 + 43196^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 513911 + ... + 533430.

Almost surely, 210222048160 is an apocalyptic number.

10222048160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222048160 is an abundant number, since it is smaller than the sum of its proper divisors (14323458952).

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

10222048160 is a wasteful number, since it uses less digits than its factorization.

10222048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047417 (or 1047409 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 10222048160 in words is "ten billion, two hundred twenty-two million, forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 1047341 2094682 4189364 5236705 8378728 10473410 16757456 20946820 33514912 41893640 63887801 83787280 127775602 167574560 255551204 319439005 511102408 638878010 1022204816 1277756020 2044409632 2555512040 5111024080 10222048160