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22130334440 = 2355314837039
BaseRepresentation
bin10100100111000100…
…100001101011101000
32010010022010110201022
4110213010201223220
5330310331200230
614055545512012
71412260511324
oct244704415350
963108113638
1022130334440
119426aa68a5
1243574a2608
132118b56a66
1410dd1ca984
15897cc61e5
hex527121ae8

22130334440 has 64 divisors (see below), whose sum is σ = 50774169600. Its totient is φ = 8678022912.

The previous prime is 22130334407. The next prime is 22130334451. The reversal of 22130334440 is 4443303122.

It is a super-2 number, since 2×221303344402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3140441 + ... + 3147479.

It is an arithmetic number, because the mean of its divisors is an integer number (793346400).

Almost surely, 222130334440 is an apocalyptic number.

22130334440 is a gapful number since it is divisible by the number (20) 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 22130334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25387084800).

22130334440 is an abundant number, since it is smaller than the sum of its proper divisors (28643835160).

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

22130334440 is a wasteful number, since it uses less digits than its factorization.

22130334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 22130334440 its reverse (4443303122), we get a palindrome (26573637562).

The spelling of 22130334440 in words is "twenty-two billion, one hundred thirty million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1483 2120 2966 5932 7039 7415 11864 14078 14830 28156 29660 35195 56312 59320 70390 78599 140780 157198 281560 314396 373067 392995 628792 746134 785990 1492268 1571980 1865335 2984536 3143960 3730670 7461340 10438837 14922680 20877674 41755348 52194185 83510696 104388370 208776740 417553480 553258361 1106516722 2213033444 2766291805 4426066888 5532583610 11065167220 22130334440