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22210001320 = 23513711095519
BaseRepresentation
bin10100101011110100…
…011011100110101000
32010022212000222010111
4110223310123212220
5330441230020240
614111513224104
71414245616303
oct245364334650
963285028114
1022210001320
119467a6a7a1
12437a102034
13212c4cb620
141109a07b3a
1589ecb11ea
hex52bd1b9a8

22210001320 has 128 divisors (see below), whose sum is σ = 55085184000. Its totient is φ = 8009487360.

The previous prime is 22210001299. The next prime is 22210001323. The reversal of 22210001320 is 2310001222.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 22210001320.

It is not an unprimeable number, because it can be changed into a prime (22210001323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4021521 + ... + 4027039.

It is an arithmetic number, because the mean of its divisors is an integer number (430353000).

Almost surely, 222210001320 is an apocalyptic number.

22210001320 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 22210001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27542592000).

22210001320 is an abundant number, since it is smaller than the sum of its proper divisors (32875182680).

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

22210001320 is a wasteful number, since it uses less digits than its factorization.

22210001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22210001320 its reverse (2310001222), we get a palindrome (24520002542).

The spelling of 22210001320 in words is "twenty-two billion, two hundred ten million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 109 130 142 218 260 284 355 436 520 545 568 710 872 923 1090 1417 1420 1846 2180 2834 2840 3692 4360 4615 5519 5668 7085 7384 7739 9230 11038 11336 14170 15478 18460 22076 27595 28340 30956 36920 38695 44152 55190 56680 61912 71747 77390 100607 110380 143494 154780 201214 220760 286988 309560 358735 391849 402428 503035 573976 601571 717470 783698 804856 1006070 1203142 1434940 1567396 1959245 2012140 2406284 2869880 3007855 3134792 3918490 4024280 4812568 5094037 6015710 7820423 7836980 10188074 12031420 15640846 15673960 20376148 24062840 25470185 31281692 39102115 40752296 42711541 50940370 62563384 78204230 85423082 101880740 156408460 170846164 203761480 213557705 312816920 341692328 427115410 555250033 854230820 1110500066 1708461640 2221000132 2776250165 4442000264 5552500330 11105000660 22210001320