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22200011020 = 22511477329411
BaseRepresentation
bin10100101011001110…
…010100100100001100
32010022011020102000101
4110223032110210030
5330431200323040
614110515140444
71414064660125
oct245316244414
963264212011
1022200011020
119462366950
1243768a4724
13212a4112c5
14110856704c
1589de8b09a
hex52b39490c

22200011020 has 96 divisors (see below), whose sum is σ = 52653597696. Its totient is φ = 7792473600.

The previous prime is 22200011011. The next prime is 22200011107. The reversal of 22200011020 is 2011000222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22200010988 and 22200011006.

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, 740115 + ... + 769525.

It is an arithmetic number, because the mean of its divisors is an integer number (548474976).

Almost surely, 222200011020 is an apocalyptic number.

22200011020 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 22200011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26326798848).

22200011020 is an abundant number, since it is smaller than the sum of its proper divisors (30453586676).

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

22200011020 is a wasteful number, since it uses less digits than its factorization.

22200011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29551 (or 29549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22200011020 its reverse (2011000222), we get a palindrome (24211011242).

The spelling of 22200011020 in words is "twenty-two billion, two hundred million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 73 94 110 146 188 220 235 292 365 470 517 730 803 940 1034 1460 1606 2068 2585 3212 3431 4015 5170 6862 8030 10340 13724 16060 17155 29411 34310 37741 58822 68620 75482 117644 147055 150964 188705 294110 323521 377410 588220 647042 754820 1294084 1382317 1617605 2147003 2764634 3235210 4294006 5529268 6470420 6911585 8588012 10735015 13823170 15205487 21470030 23617033 27646340 30410974 42940060 47234066 60821948 76027435 94468132 100909141 118085165 152054870 201818282 236170330 304109740 403636564 472340660 504545705 1009091410 1110000551 2018182820 2220001102 4440002204 5550002755 11100005510 22200011020