Search a number
-
+
22008660000 = 25354366811
BaseRepresentation
bin10100011111110100…
…011000000000100000
32002210211011202202120
4110133310120000200
5330033204110000
614035521544240
71406252344335
oct243764300040
962724152676
1022008660000
119374351008
1243227a5080
1320c9894952
1410cad9698c
1588c28e6a0
hex51fd18020

22008660000 has 120 divisors (see below), whose sum is σ = 72193003344. Its totient is φ = 5868960000.

The previous prime is 22008659999. The next prime is 22008660041. The reversal of 22008660000 is 6680022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×220086600002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 123406 + ... + 243405.

Almost surely, 222008660000 is an apocalyptic number.

22008660000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22008660000 is an abundant number, since it is smaller than the sum of its proper divisors (50184343344).

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

22008660000 is an equidigital number, since it uses as much as digits as its factorization.

22008660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366844 (or 366821 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 22008660000 in words is "twenty-two billion, eight million, six hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 366811 733622 1100433 1467244 1834055 2200866 2934488 3668110 4401732 5502165 5868976 7336220 8803464 9170275 11004330 11737952 14672440 17606928 18340550 22008660 27510825 29344880 35213856 36681100 44017320 45851375 55021650 58689760 73362200 88034640 91702750 110043300 137554125 146724400 176069280 183405500 220086600 229256875 275108250 293448800 366811000 440173200 458513750 550216500 687770625 733622000 880346400 917027500 1100433000 1375541250 1467244000 1834055000 2200866000 2751082500 3668110000 4401732000 5502165000 7336220000 11004330000 22008660000