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22222134144 = 273272755721
BaseRepresentation
bin10100101100100010…
…101101101110000000
32010100200212101020100
4110230202231232000
5331002331243034
614113025242400
71414454011050
oct245442555600
963320771210
1022222134144
1194738a7321
124382193400
132131b88c02
14110b485560
158a0dab099
hex52c8adb80

22222134144 has 96 divisors (see below), whose sum is σ = 73081747440. Its totient is φ = 6349178880.

The previous prime is 22222134083. The next prime is 22222134161. The reversal of 22222134144 is 44143122222.

It is a happy number.

22222134144 is a `hidden beast` number, since 2 + 22 + 221 + 3 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×222221341442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1369797 + ... + 1385924.

Almost surely, 222222134144 is an apocalyptic number.

22222134144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22222134144 is an abundant number, since it is smaller than the sum of its proper divisors (50859613296).

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

22222134144 is a wasteful number, since it uses less digits than its factorization.

22222134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755748 (or 2755733 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 22222134144 its reverse (44143122222), we get a palindrome (66365256366).

The spelling of 22222134144 in words is "twenty-two billion, two hundred twenty-two million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 2755721 5511442 8267163 11022884 16534326 19290047 22045768 24801489 33068652 38580094 44091536 49602978 57870141 66137304 77160188 88183072 99205956 115740282 132274608 154320376 173610423 176366144 198411912 231480564 264549216 308640752 347220846 352732288 396823824 462961128 529098432 617281504 694441692 793647648 925922256 1058196864 1234563008 1388883384 1587295296 1851844512 2469126016 2777766768 3174590592 3703689024 5555533536 7407378048 11111067072 22222134144