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22227529921 = 292532972
BaseRepresentation
bin10100101100110111…
…010011000011000001
32010101002000111211221
4110230313103003001
5331010221424141
614113341035041
71414550613142
oct245467230301
963332014757
1022227529921
119476952243
124383b55a81
132133027b8c
14110c08bac9
158a15c4bd1
hex52cdd30c1

22227529921 has 27 divisors (see below), whose sum is σ = 23707349211. Its totient is φ = 20839064064.

The previous prime is 22227529901. The next prime is 22227529927. The reversal of 22227529921 is 12992572222.

The square root of 22227529921 is 149089.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6742216321 + 15485313600 = 82111^2 + 124440^2 .

It is not a de Polignac number, because 22227529921 - 29 = 22227529409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22227529927) 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, 229149745 + ... + 229149841.

Almost surely, 222227529921 is an apocalyptic number.

22227529921 is the 149089-th square number.

22227529921 is the 74545-th centered octagonal number.

It is an amenable number.

22227529921 is a deficient number, since it is larger than the sum of its proper divisors (1479819290).

22227529921 is an frugal number, since it uses more digits than its factorization.

22227529921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The spelling of 22227529921 in words is "twenty-two billion, two hundred twenty-seven million, five hundred twenty-nine thousand, nine hundred twenty-one".

Divisors: 1 29 53 97 841 1537 2809 2813 5141 9409 44573 81461 81577 149089 272473 272861 498677 2362369 4323581 7901717 7912969 14461633 26429881 229149793 419387357 766466549 22227529921