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22540432124 = 22717232418543
BaseRepresentation
bin10100111111100000…
…111011001011111100
32011011212210120222102
4110333200323023330
5332130322311444
614204355404232
71425400340360
oct247740731374
964155716872
1022540432124
119617539301
1244508b3678
132182ac2502
14113b85d2a0
158bdcd184e
hex53f83b2fc

22540432124 has 96 divisors (see below), whose sum is σ = 50020540416. Its totient is φ = 8659537920.

The previous prime is 22540432087. The next prime is 22540432177. The reversal of 22540432124 is 42123404522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634197 + ... + 2642739.

It is an arithmetic number, because the mean of its divisors is an integer number (521047296).

Almost surely, 222540432124 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 22540432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25010270208).

22540432124 is an abundant number, since it is smaller than the sum of its proper divisors (27480108292).

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

22540432124 is a wasteful number, since it uses less digits than its factorization.

22540432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8835 (or 8833 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 22540432124 its reverse (42123404522), we get a palindrome (64663836646).

The spelling of 22540432124 in words is "twenty-two billion, five hundred forty million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 241 322 391 476 482 644 782 964 1564 1687 2737 3374 4097 5474 5543 6748 8194 8543 10948 11086 16388 17086 22172 28679 34172 38801 57358 59801 77602 94231 114716 119602 145231 155204 188462 196489 239204 290462 376924 392978 580924 659617 785956 1016617 1319234 1375423 2033234 2058863 2638468 2750846 3340313 4066468 4117726 5501692 6680626 8235452 13361252 14412041 23382191 28824082 35000671 46764382 47353849 57648164 70001342 93528764 94707698 140002684 189415396 245004697 331476943 490009394 662953886 805015433 980018788 1325907772 1610030866 3220061732 5635108031 11270216062 22540432124