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22261316516 = 22291230115601
BaseRepresentation
bin10100101110111000…
…001011101110100100
32010110102121001100022
4110232320023232210
5331042344112031
614120545134312
71415441032265
oct245670135644
963412531308
1022261316516
119493a2964a
12439332a398
13213a02754a
14111276496c
158a454a97b
hex52ee0bba4

22261316516 has 24 divisors (see below), whose sum is σ = 40306518840. Its totient is φ = 10745280000.

The previous prime is 22261316501. The next prime is 22261316531. The reversal of 22261316516 is 61561316222.

It is an interprime number because it is at equal distance from previous prime (22261316501) and next prime (22261316531).

It can be written as a sum of positive squares in 4 ways, for example, as 7143630400 + 15117686116 = 84520^2 + 122954^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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, 1419116 + ... + 1434716.

It is an arithmetic number, because the mean of its divisors is an integer number (1679438285).

Almost surely, 222261316516 is an apocalyptic number.

It is an amenable number.

22261316516 is a deficient number, since it is larger than the sum of its proper divisors (18045202324).

22261316516 is a wasteful number, since it uses less digits than its factorization.

22261316516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27935 (or 27933 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The spelling of 22261316516 in words is "twenty-two billion, two hundred sixty-one million, three hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 4 29 58 116 12301 15601 24602 31202 49204 62404 356729 452429 713458 904858 1426916 1809716 191907901 383815802 767631604 5565329129 11130658258 22261316516