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22633664805 = 3254125472
BaseRepresentation
bin10101000101000100…
…100101000100100101
32011102101020022011200
4111011010211010211
5332323204233210
614221525553113
71430611655643
oct250504450445
964371208150
1022633664805
119665128404
124477b75799
13219920698b
141149dac193
158c709b0c0
hex545125125

22633664805 has 54 divisors (see below), whose sum is σ = 40285542258. Its totient is φ = 11755336320.

The previous prime is 22633664803. The next prime is 22633664813. The reversal of 22633664805 is 50846633622.

It is a happy number.

22633664805 is a `hidden beast` number, since 2 + 2 + 633 + 6 + 6 + 4 + 8 + 0 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1303354404 + 21330310401 = 36102^2 + 146049^2 .

It is not a de Polignac number, because 22633664805 - 21 = 22633664803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22633664803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41377542 + ... + 41378088.

Almost surely, 222633664805 is an apocalyptic number.

It is an amenable number.

22633664805 is a deficient number, since it is larger than the sum of its proper divisors (17651877453).

22633664805 is an frugal number, since it uses more digits than its factorization.

22633664805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Multiplying 22633664805 by its sum of digits (45), we get a square (1018514916225 = 10092152).

22633664805 divided by its sum of digits (45) gives a square (502970329 = 224272).

The spelling of 22633664805 in words is "twenty-two billion, six hundred thirty-three million, six hundred sixty-four thousand, eight hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 369 547 615 1641 1681 1845 2735 4923 5043 8205 8405 15129 22427 24615 25215 67281 75645 112135 201843 299209 336405 897627 919507 1009215 1496045 2692881 2758521 4488135 4597535 8275563 12267569 13464405 13792605 36802707 41377815 61337845 110408121 184013535 502970329 552040605 1508910987 2514851645 4526732961 7544554935 22633664805