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22212623521 = 1121727972
BaseRepresentation
bin10100101011111110…
…011011110010100001
32010100000222012010001
4110223332123302201
5330442412423041
614112045340001
71414310120224
oct245376336241
963300865101
1022212623521
1194694a0900
12437ab67601
13212cc0901a
14110a0cb5bb
158a012d131
hex52bf9bca1

22212623521 has 27 divisors (see below), whose sum is σ = 25968801817. Its totient is φ = 18981607040.

The previous prime is 22212623513. The next prime is 22212623539. The reversal of 22212623521 is 12532621222.

The square root of 22212623521 is 149039.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1700655121 + 20511968400 = 41239^2 + 143220^2 .

It is not a de Polignac number, because 22212623521 - 23 = 22212623513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22212623521.

It is not an unprimeable number, because it can be changed into a prime (22212623561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27869895 + ... + 27870691.

Almost surely, 222212623521 is an apocalyptic number.

22212623521 is the 149039-th square number.

22212623521 is the 74520-th centered octagonal number.

It is an amenable number.

22212623521 is a deficient number, since it is larger than the sum of its proper divisors (3756178296).

22212623521 is an frugal number, since it uses more digits than its factorization.

22212623521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 825 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The spelling of 22212623521 in words is "twenty-two billion, two hundred twelve million, six hundred twenty-three thousand, five hundred twenty-one".

Divisors: 1 11 17 121 187 289 797 2057 3179 8767 13549 34969 96437 149039 230333 635209 1639429 2533663 6987299 10798553 27870293 76860289 118784083 183575401 1306624913 2019329411 22212623521