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202131220 = 22515764373
BaseRepresentation
bin11000000110001…
…00011100010100
3112002100022220111
430003010130110
5403221144340
632020212404
75003041564
oct1403043424
9462308814
10202131220
11a41091a5
125783a104
1332b52395
141cbb8da4
1512b2aaea
hexc0c4714

202131220 has 24 divisors (see below), whose sum is σ = 427185864. Its totient is φ = 80336256.

The previous prime is 202131197. The next prime is 202131229. The reversal of 202131220 is 22131202.

202131220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27415696 + 174715524 = 5236^2 + 13218^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202131220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202131229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29047 + ... + 35326.

It is an arithmetic number, because the mean of its divisors is an integer number (17799411).

Almost surely, 2202131220 is an apocalyptic number.

202131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131220 is an abundant number, since it is smaller than the sum of its proper divisors (225054644).

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

202131220 is a wasteful number, since it uses less digits than its factorization.

202131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64539 (or 64537 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 202131220 is about 14217.2859575940. The cubic root of 202131220 is about 586.8734542783.

Adding to 202131220 its reverse (22131202), we get a palindrome (224262422).

The spelling of 202131220 in words is "two hundred two million, one hundred thirty-one thousand, two hundred twenty".