Search a number
-
+
22145239960 = 2352383290011
BaseRepresentation
bin10100100111111101…
…011000101110011000
32010011100011202020121
4110213331120232120
5330323140134320
614101241203024
71412531301544
oct244775305630
963140152217
1022145239960
119434457608
124360490474
13211bc753ac
14110118aa24
1589926c8aa
hex527f58b98

22145239960 has 64 divisors (see below), whose sum is σ = 52619777280. Its totient is φ = 8370848640.

The previous prime is 22145239957. The next prime is 22145239997. The reversal of 22145239960 is 6993254122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68646 + ... + 221365.

It is an arithmetic number, because the mean of its divisors is an integer number (822184020).

Almost surely, 222145239960 is an apocalyptic number.

22145239960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145239960 is an abundant number, since it is smaller than the sum of its proper divisors (30474537320).

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

22145239960 is a wasteful number, since it uses less digits than its factorization.

22145239960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290128 (or 290124 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 22145239960 in words is "twenty-two billion, one hundred forty-five million, two hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 83 92 115 166 184 230 332 415 460 664 830 920 1660 1909 3320 3818 7636 9545 15272 19090 38180 76360 290011 580022 1160044 1450055 2320088 2900110 5800220 6670253 11600440 13340506 24070913 26681012 33351265 48141826 53362024 66702530 96283652 120354565 133405060 192567304 240709130 266810120 481418260 553630999 962836520 1107261998 2214523996 2768154995 4429047992 5536309990 11072619980 22145239960