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22452325281 = 34166492
BaseRepresentation
bin10100111010010000…
…110100101110100001
32010221202000022010000
4110322100310232201
5331440243402111
614151531130213
71423250421201
oct247220645641
963852008100
1022452325281
119581830331
1244272a3969
13216a784199
14112dc86401
158b61cac56
hex53a434ba1

22452325281 has 15 divisors (see below), whose sum is σ = 33541907971. Its totient is φ = 14967317808.

The previous prime is 22452325261. The next prime is 22452325321. The reversal of 22452325281 is 18252325422.

The square root of 22452325281 is 149841.

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

22452325281 is a `hidden beast` number, since 2 + 2 + 4 + 52 + 325 + 281 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17268325281 + 5184000000 = 131409^2 + 72000^2 .

It is not a de Polignac number, because 22452325281 - 219 = 22451800993 is a prime.

It is a super-2 number, since 2×224523252812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22452325201) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1340245 + ... + 1356893.

Almost surely, 222452325281 is an apocalyptic number.

22452325281 is the 149841-st square number.

22452325281 is the 74921-st centered octagonal number.

It is an amenable number.

22452325281 is a deficient number, since it is larger than the sum of its proper divisors (11089582690).

22452325281 is an frugal number, since it uses more digits than its factorization.

22452325281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33310 (or 16652 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Multiplying 22452325281 by its sum of digits (36), we get a square (808283710116 = 8990462).

The spelling of 22452325281 in words is "twenty-two billion, four hundred fifty-two million, three hundred twenty-five thousand, two hundred eighty-one".

Divisors: 1 3 9 27 81 16649 49947 149841 449523 1348569 277189201 831567603 2494702809 7484108427 22452325281