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22024214244 = 22323152137879
BaseRepresentation
bin10100100000101111…
…101101011011100100
32002211220110000011200
4110200233231123210
5330101144323434
614041235202500
71406531506104
oct244057553344
962756400150
1022024214244
11938210515a
124327a46430
1320ccb7c646
1410cd085204
1588d813199
hex520bed6e4

22024214244 has 72 divisors (see below), whose sum is σ = 57580024320. Its totient is φ = 7090761600.

The previous prime is 22024214243. The next prime is 22024214291. The reversal of 22024214244 is 44241242022.

22024214244 is a `hidden beast` number, since 2 + 202 + 4 + 214 + 244 = 666.

It is a super-2 number, since 2×220242142442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22024214243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562497 + ... + 600375.

It is an arithmetic number, because the mean of its divisors is an integer number (799722560).

Almost surely, 222024214244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22024214244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28790012160).

22024214244 is an abundant number, since it is smaller than the sum of its proper divisors (35555810076).

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

22024214244 is a wasteful number, since it uses less digits than its factorization.

22024214244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38441 (or 38436 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 22024214244 its reverse (44241242022), we get a palindrome (66265456266).

The spelling of 22024214244 in words is "twenty-two billion, twenty-four million, two hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 521 558 1042 1116 1563 2084 3126 4689 6252 9378 16151 18756 32302 37879 48453 64604 75758 96906 113637 145359 151516 193812 227274 290718 340911 454548 581436 681822 1174249 1363644 2348498 3522747 4696996 7045494 10568241 14090988 19734959 21136482 39469918 42272964 59204877 78939836 118409754 177614631 236819508 355229262 611783729 710458524 1223567458 1835351187 2447134916 3670702374 5506053561 7341404748 11012107122 22024214244