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22655969361 = 3213123832
BaseRepresentation
bin10101000110011001…
…101010100001010001
32011110221012111021100
4111012121222201101
5332344412004421
614224044015013
71431302363544
oct250631524121
964427174240
1022655969361
119676782123
124483531469
1321a0a1603c
14114cd3685b
158c9004c26
hex54666a851

22655969361 has 27 divisors (see below), whose sum is σ = 33063334057. Its totient is φ = 14949547080.

The previous prime is 22655969359. The next prime is 22655969363. The reversal of 22655969361 is 16396955622.

It is a happy number.

The square root of 22655969361 is 150519.

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

22655969361 is a `hidden beast` number, since 2 + 26 + 559 + 6 + 9 + 3 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (22655969359) and next prime (22655969363).

It is not a de Polignac number, because 22655969361 - 21 = 22655969359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22655969298 and 22655969307.

It is not an unprimeable number, because it can be changed into a prime (22655969363) 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, 59153776 + ... + 59154158.

Almost surely, 222655969361 is an apocalyptic number.

22655969361 is the 150519-th square number.

22655969361 is the 75260-th centered octagonal number.

It is an amenable number.

22655969361 is a deficient number, since it is larger than the sum of its proper divisors (10407364696).

22655969361 is an frugal number, since it uses more digits than its factorization.

22655969361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

It can be divided in two parts, 22655 and 969361, that added together give a square (992016 = 9962).

The spelling of 22655969361 in words is "twenty-two billion, six hundred fifty-five million, nine hundred sixty-nine thousand, three hundred sixty-one".

Divisors: 1 3 9 131 383 393 1149 1179 3447 17161 50173 51483 146689 150519 154449 440067 451557 1320201 6572663 19216259 19717989 57648777 59153967 172946331 2517329929 7551989787 22655969361