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22143432224 = 255373178853
BaseRepresentation
bin10100100111110110…
…011111011000100000
32010011012202220111102
4110213312133120200
5330322204312344
614101134333532
71412510032304
oct244766373040
963135686442
1022143432224
119433432411
12435b95a2a8
13211b791624
141100c39d04
15899011e4e
hex527d9f620

22143432224 has 48 divisors (see below), whose sum is σ = 45026136792. Its totient is φ = 10713950208.

The previous prime is 22143432221. The next prime is 22143432239. The reversal of 22143432224 is 42223434122.

It can be written as a sum of positive squares in 4 ways, for example, as 21298483600 + 844948624 = 145940^2 + 29068^2 .

It is not an unprimeable number, because it can be changed into a prime (22143432221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34382 + ... + 213234.

Almost surely, 222143432224 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 22143432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22513068396).

22143432224 is an abundant number, since it is smaller than the sum of its proper divisors (22882704568).

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

22143432224 is a wasteful number, since it uses less digits than its factorization.

22143432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178989 (or 178981 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

Adding to 22143432224 its reverse (42223434122), we get a palindrome (64366866346).

The spelling of 22143432224 in words is "twenty-two billion, one hundred forty-three million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 73 106 146 212 292 424 584 848 1168 1696 2336 3869 7738 15476 30952 61904 123808 178853 357706 715412 1430824 2861648 5723296 9479209 13056269 18958418 26112538 37916836 52225076 75833672 104450152 151667344 208900304 303334688 417800608 691982257 1383964514 2767929028 5535858056 11071716112 22143432224