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22221443124 = 2235181126307
BaseRepresentation
bin10100101100100000…
…000101000000110100
32010100122120021100000
4110230200011000310
5331002142134444
614113002351300
71414445102316
oct245440050064
963318507300
1022221443124
119473475131
124381abb530
1321319a651a
14110b3457b6
158a0cc1469
hex52c805034

22221443124 has 72 divisors (see below), whose sum is σ = 58573566688. Its totient is φ = 7366165920.

The previous prime is 22221443099. The next prime is 22221443129. The reversal of 22221443124 is 42134412222.

It is a happy number.

22221443124 is a `hidden beast` number, since 2 + 2 + 221 + 4 + 431 + 2 + 4 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221443129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112779 + ... + 239085.

Almost surely, 222221443124 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 22221443124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29286783344).

22221443124 is an abundant number, since it is smaller than the sum of its proper divisors (36352123564).

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

22221443124 is a wasteful number, since it uses less digits than its factorization.

22221443124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126507 (or 126493 counting only the distinct ones).

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

Adding to 22221443124 its reverse (42134412222), we get a palindrome (64355855346).

The spelling of 22221443124 in words is "twenty-two billion, two hundred twenty-one million, four hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 543 724 972 1086 1629 2172 3258 4887 6516 9774 14661 19548 29322 43983 58644 87966 126307 175932 252614 378921 505228 757842 1136763 1515684 2273526 3410289 4547052 6820578 10230867 13641156 20461734 22861567 30692601 40923468 45723134 61385202 68584701 91446268 122770404 137169402 205754103 274338804 411508206 617262309 823016412 1234524618 1851786927 2469049236 3703573854 5555360781 7407147708 11110721562 22221443124