Search a number
-
+
22414113984 = 263263443879
BaseRepresentation
bin10100110111111111…
…000011110011000000
32010212002002222001210
4110313333003303000
5331401003121414
614144044130120
71422304553043
oct246777036300
963762088053
1022414113984
119562201649
124416536940
132162895852
141128b7ac5a
158b2b7de59
hex537fc3cc0

22414113984 has 56 divisors (see below), whose sum is σ = 59529634560. Its totient is φ = 7442946304.

The previous prime is 22414113977. The next prime is 22414114001. The reversal of 22414113984 is 48931141422.

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 7 ways as a sum of consecutive naturals, for example, 171444 + ... + 272435.

Almost surely, 222414113984 is an apocalyptic number.

22414113984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22414113984 is an abundant number, since it is smaller than the sum of its proper divisors (37115520576).

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

22414113984 is a wasteful number, since it uses less digits than its factorization.

22414113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444157 (or 444147 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 22414113984 in words is "twenty-two billion, four hundred fourteen million, one hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 16832 25248 50496 443879 887758 1331637 1775516 2663274 3551032 5326548 7102064 10653096 14204128 21306192 28408256 42612384 85224768 116740177 233480354 350220531 466960708 700441062 933921416 1400882124 1867842832 2801764248 3735685664 5603528496 7471371328 11207056992 22414113984