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22322210020 = 225112910513329
BaseRepresentation
bin10100110010100000…
…011110010011100100
32010121200011202112021
4110302200132103210
5331203441210040
614131002232524
71420110440335
oct246240362344
963550152467
1022322210020
11951533a860
1243ab7b5744
1321498280c6
14111a89628c
158a9a7824a
hex53281e4e4

22322210020 has 96 divisors (see below), whose sum is σ = 52967779200. Its totient is φ = 7827456000.

The previous prime is 22322210003. The next prime is 22322210039. The reversal of 22322210020 is 2001222322.

It is a super-3 number, since 3×223222100203 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322209976 and 22322210003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6703716 + ... + 6707044.

It is an arithmetic number, because the mean of its divisors is an integer number (551747700).

Almost surely, 222322210020 is an apocalyptic number.

22322210020 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 22322210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26483889600).

22322210020 is an abundant number, since it is smaller than the sum of its proper divisors (30645569180).

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

22322210020 is a wasteful number, since it uses less digits than its factorization.

22322210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22322210020 its reverse (2001222322), we get a palindrome (24323432342).

The spelling of 22322210020 in words is "twenty-two billion, three hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1051 1276 1595 2102 3190 3329 4204 5255 6380 6658 10510 11561 13316 16645 21020 23122 30479 33290 36619 46244 57805 60958 66580 73238 96541 115610 121916 146476 152395 183095 193082 231220 304790 335269 366190 386164 482705 609580 670538 732380 965410 1061951 1341076 1676345 1930820 2123902 3352690 3498779 4247804 5309755 6705380 6997558 10619510 13995116 17493895 21239020 34987790 38486569 69975580 76973138 101464591 153946276 192432845 202929182 384865690 405858364 507322955 769731380 1014645910 1116110501 2029291820 2232221002 4464442004 5580552505 11161105010 22322210020