Search a number
-
+
22654936224 = 253326220991
BaseRepresentation
bin10101000110010101…
…101110010010100000
32011110212021000002000
4111012111232102200
5332344130424344
614224005524000
71431260531514
oct250625562240
964425230060
1022654936224
119676136998
124483113600
1321a0743a0b
14114cb48144
158c8d9da69
hex54656e4a0

22654936224 has 48 divisors (see below), whose sum is σ = 66076899840. Its totient is φ = 7551645120.

The previous prime is 22654936223. The next prime is 22654936243. The reversal of 22654936224 is 42263945622.

22654936224 is a `hidden beast` number, since 2 + 26 + 549 + 3 + 62 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×226549362242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22654936224.

It is not an unprimeable number, because it can be changed into a prime (22654936223) 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, 13109632 + ... + 13111359.

It is an arithmetic number, because the mean of its divisors is an integer number (1376602080).

Almost surely, 222654936224 is an apocalyptic number.

22654936224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22654936224 is an abundant number, since it is smaller than the sum of its proper divisors (43421963616).

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

22654936224 is a wasteful number, since it uses less digits than its factorization.

22654936224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26221010 (or 26220996 counting only the distinct ones).

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

The spelling of 22654936224 in words is "twenty-two billion, six hundred fifty-four million, nine hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 26220991 52441982 78662973 104883964 157325946 209767928 235988919 314651892 419535856 471977838 629303784 707966757 839071712 943955676 1258607568 1415933514 1887911352 2517215136 2831867028 3775822704 5663734056 7551645408 11327468112 22654936224