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10202221220 = 2251753566161
BaseRepresentation
bin10011000000001100…
…11000101010100100
3222100000021112111012
421200012120222210
5131343232034340
64404205001352
7510551310122
oct114006305244
928300245435
1010202221220
114365984894
121b88853258
13c678717b9
146cad62912
153eaa05565
hex260198aa4

10202221220 has 48 divisors (see below), whose sum is σ = 23112997488. Its totient is φ = 3768360960.

The previous prime is 10202221219. The next prime is 10202221223. The reversal of 10202221220 is 2212220201.

It can be written as a sum of positive squares in 8 ways, for example, as 211818916 + 9990402304 = 14554^2 + 99952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10202221195 and 10202221204.

It is not an unprimeable number, because it can be changed into a prime (10202221223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265061 + ... + 301100.

It is an arithmetic number, because the mean of its divisors is an integer number (481520781).

Almost surely, 210202221220 is an apocalyptic number.

10202221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202221220 is an abundant number, since it is smaller than the sum of its proper divisors (12910776268).

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

10202221220 is a wasteful number, since it uses less digits than its factorization.

10202221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566240 (or 566238 counting only the distinct ones).

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

Adding to 10202221220 its reverse (2212220201), we get a palindrome (12414441421).

The spelling of 10202221220 in words is "ten billion, two hundred two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 566161 1132322 2264644 2830805 5661610 9624737 11323220 19249474 30006533 38498948 48123685 60013066 96247370 120026132 150032665 192494740 300065330 510111061 600130660 1020222122 2040444244 2550555305 5101110610 10202221220