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22402042440 = 23351327140681
BaseRepresentation
bin10100110111010001…
…000000101001001000
32010211020101200000120
4110313101000221020
5331334410324230
614142533303240
71422100135041
oct246721005110
963736350016
1022402042440
119556407068
124412494b20
13216022a11b
1411273178c8
158b1a97310
hex537440a48

22402042440 has 64 divisors (see below), whose sum is σ = 67257250560. Its totient is φ = 5969333760.

The previous prime is 22402042393. The next prime is 22402042441. The reversal of 22402042440 is 4424020422.

It is a super-2 number, since 2×224020424402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22402042440.

It is not an unprimeable number, because it can be changed into a prime (22402042441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88900 + ... + 229580.

It is an arithmetic number, because the mean of its divisors is an integer number (1050894540).

Almost surely, 222402042440 is an apocalyptic number.

22402042440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22402042440 is an abundant number, since it is smaller than the sum of its proper divisors (44855208120).

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

22402042440 is a wasteful number, since it uses less digits than its factorization.

22402042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142022 (or 142018 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22402042440 its reverse (4424020422), we get a palindrome (26826062862).

The spelling of 22402042440 in words is "twenty-two billion, four hundred two million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1327 2654 3981 5308 6635 7962 10616 13270 15924 19905 26540 31848 39810 53080 79620 140681 159240 281362 422043 562724 703405 844086 1125448 1406810 1688172 2110215 2813620 3376344 4220430 5627240 8440860 16881720 186683687 373367374 560051061 746734748 933418435 1120102122 1493469496 1866836870 2240204244 2800255305 3733673740 4480408488 5600510610 7467347480 11201021220 22402042440