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22391830321 = 72213772
BaseRepresentation
bin10100110110101010…
…000011011100110001
32010210112011211121221
4110312222003130301
5331324302032241
614141530345041
71421614263100
oct246652033461
963715154557
1022391830321
1195506715a3
12440ab8b181
13215b092b53
141125c1a037
158b0c2b5d1
hex536a83731

22391830321 has 9 divisors (see below), whose sum is σ = 26048857899. Its totient is φ = 19192099584.

The previous prime is 22391830289. The next prime is 22391830337. The reversal of 22391830321 is 12303819322.

The square root of 22391830321 is 149639.

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

It can be written as a sum of positive squares in only one way, i.e., 1501175025 + 20890655296 = 38745^2 + 144536^2 .

It is not a de Polignac number, because 22391830321 - 25 = 22391830289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22391830421) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1036785 + ... + 1058161.

Almost surely, 222391830321 is an apocalyptic number.

22391830321 is the 149639-th square number.

22391830321 is the 74820-th centered octagonal number.

It is an amenable number.

22391830321 is a deficient number, since it is larger than the sum of its proper divisors (3657027578).

22391830321 is an frugal number, since it uses more digits than its factorization.

22391830321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42768 (or 21384 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 22391830321 in words is "twenty-two billion, three hundred ninety-one million, eight hundred thirty thousand, three hundred twenty-one".

Divisors: 1 7 49 21377 149639 1047473 456976129 3198832903 22391830321