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202221313220 = 225101100109561
BaseRepresentation
bin1011110001010101010…
…1000101110011000100
3201022222011002002101102
42330111111011303010
511303122124010340
6232522120315232
720416142541563
oct2742525056304
9638864062342
10202221313220
1178841728753
1233237612b18
13160b95a38b4
149b05109bda
1553d84a1215
hex2f15545cc4

202221313220 has 24 divisors (see below), whose sum is σ = 428869363608. Its totient is φ = 80087648000.

The previous prime is 202221313213. The next prime is 202221313237. The reversal of 202221313220 is 22313122202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 138425667136 + 63795646084 = 372056^2 + 252578^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202221313192 and 202221313201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50052761 + ... + 50056800.

It is an arithmetic number, because the mean of its divisors is an integer number (17869556817).

Almost surely, 2202221313220 is an apocalyptic number.

202221313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221313220 is an abundant number, since it is smaller than the sum of its proper divisors (226648050388).

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

202221313220 is a wasteful number, since it uses less digits than its factorization.

202221313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100109671 (or 100109669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202221313220 its reverse (22313122202), we get a palindrome (224534435422).

The spelling of 202221313220 in words is "two hundred two billion, two hundred twenty-one million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 100109561 200219122 400438244 500547805 1001095610 2002191220 10111065661 20222131322 40444262644 50555328305 101110656610 202221313220