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22241231424 = 26345098429
BaseRepresentation
bin10100101101101011…
…100100001001000000
32010102000210121210000
4110231223210021000
5331022223401144
614114550440000
71415105230206
oct245553441100
963360717700
1022241231424
1194836603a5
124388663000
132135b14489
14110dc17076
158a28ce769
hex52dae4240

22241231424 has 140 divisors (see below), whose sum is σ = 66067343100. Its totient is φ = 7398300672.

The previous prime is 22241231407. The next prime is 22241231437. The reversal of 22241231424 is 42413214222.

It is a happy number.

22241231424 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 1 + 231 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10809345024 + 11431886400 = 103968^2 + 106920^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2634442 + ... + 2642870.

Almost surely, 222241231424 is an apocalyptic number.

22241231424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22241231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33033671550).

22241231424 is an abundant number, since it is smaller than the sum of its proper divisors (43826111676).

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

22241231424 is an equidigital number, since it uses as much as digits as its factorization.

22241231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8962 (or 8943 counting only the distinct ones).

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

Adding to 22241231424 its reverse (42413214222), we get a palindrome (64654445646).

The spelling of 22241231424 in words is "twenty-two billion, two hundred forty-one million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 509 576 648 864 1018 1296 1527 1728 2036 2592 3054 4072 4581 5184 6108 8144 8429 9162 12216 13743 16288 16858 18324 24432 25287 27486 32576 33716 36648 41229 48864 50574 54972 67432 73296 75861 82458 97728 101148 109944 134864 146592 151722 164916 202296 219888 227583 269728 293184 303444 329832 404592 439776 455166 539456 606888 659664 682749 809184 879552 910332 1213776 1319328 1365498 1618368 1820664 2427552 2638656 2730996 3641328 4290361 4855104 5461992 7282656 8580722 10923984 12871083 14565312 17161444 21847968 25742166 34322888 38613249 43695936 51484332 68645776 77226498 102968664 115839747 137291552 154452996 205937328 231679494 274583104 308905992 347519241 411874656 463358988 617811984 695038482 823749312 926717976 1235623968 1390076964 1853435952 2471247936 2780153928 3706871904 5560307856 7413743808 11120615712 22241231424