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22551329241 = 327271512
BaseRepresentation
bin10101000000001010…
…011111100111011001
32011012122022020000100
4111000022133213121
5332141120013431
614205425130013
71425562064400
oct250012374731
964178266010
1022551329241
119622701491
124454489909
1321851394cc
14113d098637
158bec354e6
hex54029f9d9

22551329241 has 27 divisors (see below), whose sum is σ = 37897669173. Its totient is φ = 12884671800.

The previous prime is 22551329233. The next prime is 22551329249. The reversal of 22551329241 is 14292315522.

The square root of 22551329241 is 150171.

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

It is an interprime number because it is at equal distance from previous prime (22551329233) and next prime (22551329249).

It is not a de Polignac number, because 22551329241 - 23 = 22551329233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22551329196 and 22551329205.

It is not an unprimeable number, because it can be changed into a prime (22551329249) 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 26 ways as a sum of consecutive naturals, for example, 3150016 + ... + 3157166.

Almost surely, 222551329241 is an apocalyptic number.

22551329241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22551329241 is the 150171-st square number.

22551329241 is the 75086-th centered octagonal number.

It is an amenable number.

22551329241 is a deficient number, since it is larger than the sum of its proper divisors (15346339932).

22551329241 is an frugal number, since it uses more digits than its factorization.

22551329241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14322 (or 7161 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Multiplying 22551329241 by its sum of digits (36), we get a square (811847852676 = 9010262).

The spelling of 22551329241 in words is "twenty-two billion, five hundred fifty-one million, three hundred twenty-nine thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 7151 21453 50057 64359 150171 350399 450513 1051197 3153591 51136801 153410403 357957607 460231209 1073872821 2505703249 3221618463 7517109747 22551329241