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22920351372 = 223237101170371
BaseRepresentation
bin10101010110001010…
…001100111010001100
32012011100200111012200
4111112022030322030
5333420102220442
614310210401500
71440662525562
oct252612147214
965140614180
1022920351372
1197a1a39256
124537b90290
1322137229b9
1411760b7a32
158e232a34c
hex55628ce8c

22920351372 has 72 divisors (see below), whose sum is σ = 60092930352. Its totient is φ = 7359984000.

The previous prime is 22920351359. The next prime is 22920351379. The reversal of 22920351372 is 27315302922.

It is a happy number.

It is a super-4 number, since 4×229203513724 (a number of 43 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22920351379) 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, 49347 + ... + 219717.

Almost surely, 222920351372 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 22920351372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046465176).

22920351372 is an abundant number, since it is smaller than the sum of its proper divisors (37172578980).

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

22920351372 is a wasteful number, since it uses less digits than its factorization.

22920351372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170519 (or 170514 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 22920351372 in words is "twenty-two billion, nine hundred twenty million, three hundred fifty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 1212 1332 1818 3636 3737 7474 11211 14948 22422 33633 44844 67266 134532 170371 340742 511113 681484 1022226 1533339 2044452 3066678 6133356 6303727 12607454 17207471 18911181 25214908 34414942 37822362 51622413 56733543 68829884 75644724 103244826 113467086 154867239 206489652 226934172 309734478 619468956 636676427 1273352854 1910029281 2546705708 3820058562 5730087843 7640117124 11460175686 22920351372