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22823051329 = 132116212
BaseRepresentation
bin10101010000010111…
…000010000001000001
32011220120121010122101
4111100113002001001
5333220200120304
614252413110401
71435401510151
oct252027020101
964816533571
1022823051329
1197520212a1
12450b488401
1321c9516100
1411671ca761
158d8a0a8a4
hex5505c2041

22823051329 has 9 divisors (see below), whose sum is σ = 24715845129. Its totient is φ = 21065619120.

The previous prime is 22823051297. The next prime is 22823051341. The reversal of 22823051329 is 92315032822.

The square root of 22823051329 is 151073.

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 13996073025 + 8826978304 = 118305^2 + 93952^2 .

It is not a de Polignac number, because 22823051329 - 25 = 22823051297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22823058329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1958139 + ... + 1969759.

Almost surely, 222823051329 is an apocalyptic number.

22823051329 is the 151073-rd square number.

22823051329 is the 75537-th centered octagonal number.

It is an amenable number.

22823051329 is a deficient number, since it is larger than the sum of its proper divisors (1892793800).

22823051329 is an frugal number, since it uses more digits than its factorization.

22823051329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23268 (or 11634 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 22823051329 in words is "twenty-two billion, eight hundred twenty-three million, fifty-one thousand, three hundred twenty-nine".

Divisors: 1 13 169 11621 151073 1963949 135047641 1755619333 22823051329