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22142437272 = 23322319936709
BaseRepresentation
bin10100100111110010…
…101100011110011000
32010011010220100200100
4110213302230132120
5330321430443042
614101101135400
71412465416464
oct244762543630
963133810610
1022142437272
11943291293a
12435b55a560
13211b5037b7
141100a5b4a4
15898db724c
hex527cac798

22142437272 has 96 divisors (see below), whose sum is σ = 62617183200. Its totient is φ = 7055313408.

The previous prime is 22142437159. The next prime is 22142437277. The reversal of 22142437272 is 27273424122.

22142437272 is a `hidden beast` number, since 2 + 214 + 2 + 4 + 372 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142437277) 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, 3297054 + ... + 3303762.

It is an arithmetic number, because the mean of its divisors is an integer number (652262325).

Almost surely, 222142437272 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 22142437272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31308591600).

22142437272 is an abundant number, since it is smaller than the sum of its proper divisors (40474745928).

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

22142437272 is a wasteful number, since it uses less digits than its factorization.

22142437272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8737 (or 8730 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The spelling of 22142437272 in words is "twenty-two billion, one hundred forty-two million, four hundred thirty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 1993 3986 5979 6709 7972 11958 13418 15944 17937 20127 23916 26836 35874 40254 45839 47832 53672 60381 71748 80508 91678 120762 137517 143496 154307 161016 183356 241524 275034 308614 366712 412551 462921 483048 550068 617228 825102 925842 1100136 1234456 1388763 1650204 1851684 2777526 3300408 3703368 5555052 11110104 13371037 26742074 40113111 53484148 80226222 106968296 120339333 160452444 240678666 307533851 320904888 481357332 615067702 922601553 962714664 1230135404 1845203106 2460270808 2767804659 3690406212 5535609318 7380812424 11071218636 22142437272