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22212332320 = 255138827077
BaseRepresentation
bin10100101011111101…
…010100101100100000
32010100000102101122211
4110223331110230200
5330442324113240
614112035211504
71414304465233
oct245375245440
963300371584
1022212332320
119469312042
12437aa46b94
13212cb36609
14110a05341a
158a00c1bea
hex52bf54b20

22212332320 has 24 divisors (see below), whose sum is σ = 52476635484. Its totient is φ = 8884932864.

The previous prime is 22212332309. The next prime is 22212332339. The reversal of 22212332320 is 2323321222.

It can be written as a sum of positive squares in 2 ways, for example, as 20553236496 + 1659095824 = 143364^2 + 40732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22212332291 and 22212332300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69413379 + ... + 69413698.

Almost surely, 222212332320 is an apocalyptic number.

22212332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212332320 is an abundant number, since it is smaller than the sum of its proper divisors (30264303164).

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

22212332320 is a wasteful number, since it uses less digits than its factorization.

22212332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138827092 (or 138827084 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22212332320 its reverse (2323321222), we get a palindrome (24535653542).

The spelling of 22212332320 in words is "twenty-two billion, two hundred twelve million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 138827077 277654154 555308308 694135385 1110616616 1388270770 2221233232 2776541540 4442466464 5553083080 11106166160 22212332320