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22034421200 = 24521143116461
BaseRepresentation
bin10100100001010110…
…101001010111010000
32002212121122120111002
4110201112221113100
5330111302434300
614042242041132
71410014330021
oct244126512720
962777576432
1022034421200
119387946860
12432b3491a8
13210201446c
1410d0580c48
1588e67c5d5
hex5215a95d0

22034421200 has 120 divisors (see below), whose sum is σ = 59093750496. Its totient is φ = 7826112000.

The previous prime is 22034421181. The next prime is 22034421229. The reversal of 22034421200 is 212443022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130970 + ... + 247430.

Almost surely, 222034421200 is an apocalyptic number.

22034421200 is a gapful number since it is divisible by the number (20) 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 22034421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29546875248).

22034421200 is an abundant number, since it is smaller than the sum of its proper divisors (37059329296).

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

22034421200 is a wasteful number, since it uses less digits than its factorization.

22034421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116533 (or 116522 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22034421200 its reverse (212443022), we get a palindrome (22246864222).

The spelling of 22034421200 in words is "twenty-two billion, thirty-four million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 172 176 200 215 220 275 344 400 430 440 473 550 688 860 880 946 1075 1100 1720 1892 2150 2200 2365 3440 3784 4300 4400 4730 7568 8600 9460 11825 17200 18920 23650 37840 47300 94600 116461 189200 232922 465844 582305 931688 1164610 1281071 1863376 2329220 2562142 2911525 4658440 5007823 5124284 5823050 6405355 9316880 10015646 10248568 11646100 12810710 20031292 20497136 23292200 25039115 25621420 32026775 40062584 46584400 50078230 51242840 55086053 64053550 80125168 100156460 102485680 110172106 125195575 128107100 200312920 220344212 250391150 256214200 275430265 400625840 440688424 500782300 512428400 550860530 881376848 1001564600 1101721060 1377151325 2003129200 2203442120 2754302650 4406884240 5508605300 11017210600 22034421200