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22428772808 = 2313240732
BaseRepresentation
bin10100111000110110…
…111110100111001000
32010220002200201012012
4110320312332213020
5331413231212213
614145330235052
71422543265121
oct247066764710
963802621165
1022428772808
11956a503a82
12441b425a88
132165928b00
14112aab5048
158b40c74a8
hex538dbe9c8

22428772808 has 36 divisors (see below), whose sum is σ = 45548891235. Its totient is φ = 10349199744.

The previous prime is 22428772783. The next prime is 22428772819. The reversal of 22428772808 is 80827782422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 71944324 + 22356828484 = 8482^2 + 149522^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105898.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5504660 + ... + 5508732.

Almost surely, 222428772808 is an apocalyptic number.

It is an amenable number.

22428772808 is an abundant number, since it is smaller than the sum of its proper divisors (23120118427).

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

22428772808 is an frugal number, since it uses more digits than its factorization.

22428772808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 50.

Multiplying 22428772808 by its sum of digits (50), we get a square (1121438640400 = 10589802).

The spelling of 22428772808 in words is "twenty-two billion, four hundred twenty-eight million, seven hundred seventy-two thousand, eight hundred eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 4073 8146 16292 32584 52949 105898 211796 423592 688337 1376674 2753348 5506696 16589329 33178658 66357316 132714632 215661277 431322554 862645108 1725290216 2803596601 5607193202 11214386404 22428772808