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10220344960 = 27572281327
BaseRepresentation
bin10011000010010111…
…00001011010000000
3222101021101022120211
421201023201122000
5131412402014320
64410053243504
7511161333040
oct114113413200
928337338524
1010220344960
114375133491
121b92933594
13c6b548bc7
146cd51d720
153ec3d555a
hex2612e1680

10220344960 has 64 divisors (see below), whose sum is σ = 27923454720. Its totient is φ = 3504116736.

The previous prime is 10220344949. The next prime is 10220345011. The reversal of 10220344960 is 6944302201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102203449602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136184 + ... + 1145143.

It is an arithmetic number, because the mean of its divisors is an integer number (436303980).

Almost surely, 210220344960 is an apocalyptic number.

10220344960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220344960 is an abundant number, since it is smaller than the sum of its proper divisors (17703109760).

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

10220344960 is an equidigital number, since it uses as much as digits as its factorization.

10220344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281353 (or 2281341 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 10220344960 in words is "ten billion, two hundred twenty million, three hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 2281327 4562654 9125308 11406635 15969289 18250616 22813270 31938578 36501232 45626540 63877156 73002464 79846445 91253080 127754312 146004928 159692890 182506160 255508624 292009856 319385780 365012320 511017248 638771560 730024640 1022034496 1277543120 1460049280 2044068992 2555086240 5110172480 10220344960