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22424324040 = 2333520763263
BaseRepresentation
bin10100111000100110…
…000000011111001000
32010212210022200122000
4110320212000133020
5331411111332130
614145051031000
71422460416006
oct247046003710
963783280560
1022424324040
119567a45608
124419a3b460
132164a2bbc1
14112a277a76
158b39e9260
hex5389807c8

22424324040 has 64 divisors (see below), whose sum is σ = 74747750400. Its totient is φ = 5979819456.

The previous prime is 22424324029. The next prime is 22424324063. The reversal of 22424324040 is 4042342422.

22424324040 is a `hidden beast` number, since 224 + 2 + 4 + 32 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22424323995 and 22424324013.

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, 10380552 + ... + 10382711.

It is an arithmetic number, because the mean of its divisors is an integer number (1167933600).

Almost surely, 222424324040 is an apocalyptic number.

22424324040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22424324040 is an abundant number, since it is smaller than the sum of its proper divisors (52323426360).

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

22424324040 is a wasteful number, since it uses less digits than its factorization.

22424324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20763283 (or 20763273 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 22424324040 its reverse (4042342422), we get a palindrome (26466666462).

The spelling of 22424324040 in words is "twenty-two billion, four hundred twenty-four million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 20763263 41526526 62289789 83053052 103816315 124579578 166106104 186869367 207632630 249159156 311448945 373738734 415265260 498318312 560608101 622897890 747477468 830530520 934346835 1121216202 1245795780 1494954936 1868693670 2242432404 2491591560 2803040505 3737387340 4484864808 5606081010 7474774680 11212162020 22424324040