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10222320132 = 2232373809941
BaseRepresentation
bin10011000010100110…
…00011101000000100
3222101102002200000100
421201103003220010
5131413403221012
64410203444100
7511214200413
oct114123035004
928342080010
1010222320132
114376262462
121b93526630
13c6ba8ac4b
146cd8b547a
153ec6758dc
hex2614c3a04

10222320132 has 72 divisors (see below), whose sum is σ = 25968622680. Its totient is φ = 3390497280.

The previous prime is 10222320109. The next prime is 10222320139. The reversal of 10222320132 is 23102322201.

It can be written as a sum of positive squares in 4 ways, for example, as 4153286916 + 6069033216 = 64446^2 + 77904^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10222320139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10862782 + ... + 10863722.

It is an arithmetic number, because the mean of its divisors is an integer number (360675315).

Almost surely, 210222320132 is an apocalyptic number.

10222320132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222320132 is an abundant number, since it is smaller than the sum of its proper divisors (15746302548).

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

10222320132 is a wasteful number, since it uses less digits than its factorization.

10222320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222320132 its reverse (23102322201), we get a palindrome (33324642333).

The spelling of 10222320132 in words is "ten billion, two hundred twenty-two million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 373 746 809 941 1119 1492 1618 1882 2238 2427 2823 3236 3357 3764 4476 4854 5646 6714 7281 8469 9708 11292 13428 14562 16938 29124 33876 301757 350993 603514 701986 761269 905271 1052979 1207028 1403972 1522538 1810542 2105958 2283807 2715813 3045076 3158937 3621084 4211916 4567614 5431626 6317874 6851421 9135228 10863252 12635748 13702842 27405684 283953337 567906674 851860011 1135813348 1703720022 2555580033 3407440044 5111160066 10222320132