Search a number
-
+
22142403504 = 24321311828207
BaseRepresentation
bin10100100111110010…
…100100001110110000
32010011010211122100200
4110213302210032300
5330321423403004
614101100315200
71412465216154
oct244762441660
963133748320
1022142403504
11943289a531
12435b542b00
13211b4c1310
141100a4d064
15898dac239
hex527ca43b0

22142403504 has 60 divisors (see below), whose sum is σ = 66734749536. Its totient is φ = 6813046656.

The previous prime is 22142403487. The next prime is 22142403533. The reversal of 22142403504 is 40530424122.

It is a super-3 number, since 3×221424035043 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5912232 + ... + 5915975.

Almost surely, 222142403504 is an apocalyptic number.

22142403504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22142403504 is an abundant number, since it is smaller than the sum of its proper divisors (44592346032).

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

22142403504 is a wasteful number, since it uses less digits than its factorization.

22142403504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11828234 (or 11828225 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22142403504 its reverse (40530424122), we get a palindrome (62672827626).

The spelling of 22142403504 in words is "twenty-two billion, one hundred forty-two million, four hundred three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 11828207 23656414 35484621 47312828 70969242 94625656 106453863 141938484 153766691 189251312 212907726 283876968 307533382 425815452 461300073 567753936 615066764 851630904 922600146 1230133528 1383900219 1703261808 1845200292 2460267056 2767800438 3690400584 5535600876 7380801168 11071201752 22142403504