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10022221220 = 22511412394649
BaseRepresentation
bin10010101010101111…
…01111010110100100
3221212110120120220112
421111113233112210
5131011142034340
64334254552152
7503234321564
oct112527572644
927773516815
1010022221220
114283312160
121b38508658
13c3949a91b
146b10a8da4
153d9cec065
hex2555ef5a4

10022221220 has 96 divisors (see below), whose sum is σ = 23623488000. Its totient is φ = 3539916800.

The previous prime is 10022221217. The next prime is 10022221243. The reversal of 10022221220 is 2212222001.

It is a junction number, because it is equal to n+sod(n) for n = 10022221195 and 10022221204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2153456 + ... + 2158104.

It is an arithmetic number, because the mean of its divisors is an integer number (246078000).

Almost surely, 210022221220 is an apocalyptic number.

10022221220 is a gapful number since it is divisible by the number (10) 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 10022221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811744000).

10022221220 is an abundant number, since it is smaller than the sum of its proper divisors (13601266780).

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

10022221220 is a wasteful number, since it uses less digits than its factorization.

10022221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10022221220 its reverse (2212222001), we get a palindrome (12234443221).

It can be divided in two parts, 1002 and 2221220, that added together give a palindrome (2222222).

The spelling of 10022221220 in words is "ten billion, twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 239 410 451 478 820 902 956 1195 1804 2255 2390 2629 4510 4649 4780 5258 9020 9298 9799 10516 13145 18596 19598 23245 26290 39196 46490 48995 51139 52580 92980 97990 102278 107789 190609 195980 204556 215578 255695 381218 431156 511390 538945 762436 953045 1022780 1077890 1111111 1906090 2096699 2155780 2222222 3812180 4193398 4444444 5555555 8386796 10483495 11111110 12222221 20966990 22222220 24444442 41933980 45555551 48888884 61111105 91111102 122222210 182222204 227777755 244444420 455555510 501111061 911111020 1002222122 2004444244 2505555305 5011110610 10022221220