Search a number
-
+
22535135664 = 2431097427969
BaseRepresentation
bin10100111111001100…
…101110000110110000
32011011111211111121020
4110333030232012300
5332122443320124
614204050055440
71425304330656
oct247714560660
964144744536
1022535135664
119614550a68
12444ab7a580
132181989802
14113ac80dd6
158bd5d7379
hex53f32e1b0

22535135664 has 40 divisors (see below), whose sum is σ = 58268971440. Its totient is φ = 7504846848.

The previous prime is 22535135639. The next prime is 22535135669. The reversal of 22535135664 is 46653153522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22535135669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161329 + ... + 266640.

It is an arithmetic number, because the mean of its divisors is an integer number (1456724286).

Almost surely, 222535135664 is an apocalyptic number.

22535135664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22535135664 is an abundant number, since it is smaller than the sum of its proper divisors (35733835776).

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

22535135664 is a wasteful number, since it uses less digits than its factorization.

22535135664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429077 (or 429071 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 22535135664 in words is "twenty-two billion, five hundred thirty-five million, one hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1097 2194 3291 4388 6582 8776 13164 17552 26328 52656 427969 855938 1283907 1711876 2567814 3423752 5135628 6847504 10271256 20542512 469481993 938963986 1408445979 1877927972 2816891958 3755855944 5633783916 7511711888 11267567832 22535135664