Search a number
-
+
22047793632 = 253276554839
BaseRepresentation
bin10100100010001001…
…101010000111100000
32002220112210222000100
4110202021222013200
5330123213344012
614043440422400
71410236103504
oct244211520740
962815728010
1022047793632
11939444a757
124333917a00
132104a17047
1410d2262304
1589091e8dc
hex52226a1e0

22047793632 has 36 divisors (see below), whose sum is σ = 62698413960. Its totient is φ = 7349264448.

The previous prime is 22047793627. The next prime is 22047793633. The reversal of 22047793632 is 23639774022.

22047793632 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 7 + 7 + 9 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×220477936322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22047793633) 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 5 ways as a sum of consecutive naturals, for example, 38277132 + ... + 38277707.

It is an arithmetic number, because the mean of its divisors is an integer number (1741622610).

Almost surely, 222047793632 is an apocalyptic number.

It is an amenable number.

22047793632 is an abundant number, since it is smaller than the sum of its proper divisors (40650620328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22047793632 is a wasteful number, since it uses less digits than its factorization.

22047793632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76554855 (or 76554844 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 22047793632 in words is "twenty-two billion, forty-seven million, seven hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 76554839 153109678 229664517 306219356 459329034 612438712 688993551 918658068 1224877424 1377987102 1837316136 2449754848 2755974204 3674632272 5511948408 7349264544 11023896816 22047793632