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22244340024 = 23321792297537
BaseRepresentation
bin10100101101110111…
…011011000100111000
32010102020122112222100
4110231313123010320
5331024022340044
614115141223400
71415143525164
oct245567330470
963366575870
1022244340024
119485393995
124389701b60
13213666239a
1411103c5ca4
158a2ce5869
hex52dddb138

22244340024 has 96 divisors (see below), whose sum is σ = 60854274000. Its totient is φ = 7340184576.

The previous prime is 22244340011. The next prime is 22244340029. The reversal of 22244340024 is 42004344222.

22244340024 is a `hidden beast` number, since 2 + 224 + 434 + 0 + 0 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22244340024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244340029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2947584 + ... + 2955120.

Almost surely, 222244340024 is an apocalyptic number.

22244340024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22244340024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30427137000).

22244340024 is an abundant number, since it is smaller than the sum of its proper divisors (38609933976).

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

22244340024 is a wasteful number, since it uses less digits than its factorization.

22244340024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 22244340024 its reverse (42004344222), we get a palindrome (64248684246).

The spelling of 22244340024 in words is "twenty-two billion, two hundred forty-four million, three hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 229 358 458 537 687 716 916 1074 1374 1432 1611 1832 2061 2148 2748 3222 4122 4296 5496 6444 7537 8244 12888 15074 16488 22611 30148 40991 45222 60296 67833 81982 90444 122973 135666 163964 180888 245946 271332 327928 368919 491892 542664 737838 983784 1349123 1475676 1725973 2698246 2951352 3451946 4047369 5177919 5396492 6903892 8094738 10355838 10792984 12142107 13807784 15533757 16189476 20711676 24284214 31067514 32378952 41423352 48568428 62135028 97136856 124270056 308949167 617898334 926847501 1235796668 1853695002 2471593336 2780542503 3707390004 5561085006 7414780008 11122170012 22244340024