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22820029969 = 1123124432
BaseRepresentation
bin10101010000001011…
…100000011000010001
32011220100220122010011
4111100023200120101
5333213411424334
614252224234521
71435334024422
oct252013403021
964810818104
1022820029969
119750348300
12450a46ba41
1321c89c8b19
141166a41649
158d8610564
hex5502e0611

22820029969 has 27 divisors (see below), whose sum is σ = 25977047817. Its totient is φ = 20030953800.

The previous prime is 22820029927. The next prime is 22820029997. The reversal of 22820029969 is 96992002822.

The square root of 22820029969 is 151063.

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

It is not a de Polignac number, because 22820029969 - 215 = 22819997201 is a prime.

It is a super-2 number, since 2×228200299692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22820029919) 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, 51512262 + ... + 51512704.

Almost surely, 222820029969 is an apocalyptic number.

22820029969 is the 151063-rd square number.

22820029969 is the 75532-nd centered octagonal number.

It is an amenable number.

22820029969 is a deficient number, since it is larger than the sum of its proper divisors (3157017848).

22820029969 is an frugal number, since it uses more digits than its factorization.

22820029969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

Multiplying 22820029969 by its sum of digits (49), we get a square (1118181468481 = 10574412).

The spelling of 22820029969 in words is "twenty-two billion, eight hundred twenty million, twenty-nine thousand, nine hundred sixty-nine".

Divisors: 1 11 31 121 341 443 961 3751 4873 10571 13733 53603 116281 151063 196249 425723 1661693 2158739 4682953 6083719 23746129 51512483 66920909 188595289 736129999 2074548179 22820029969