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202013220 = 223516720161
BaseRepresentation
bin11000000101001…
…11101000100100
3112002010100001010
430002213220210
5403203410340
632013502220
75002040553
oct1402475044
9462110033
10202013220
11a4038582
12577a1970
1332b10766
141cb87d9a
1512b05b80
hexc0a7a24

202013220 has 48 divisors (see below), whose sum is σ = 569052288. Its totient is φ = 53544960.

The previous prime is 202013219. The next prime is 202013221. The reversal of 202013220 is 22310202.

It is an interprime number because it is at equal distance from previous prime (202013219) and next prime (202013221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202013196 and 202013205.

It is not an unprimeable number, because it can be changed into a prime (202013221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61 + ... + 20100.

It is an arithmetic number, because the mean of its divisors is an integer number (11855256).

Almost surely, 2202013220 is an apocalyptic number.

202013220 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 202013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284526144).

202013220 is an abundant number, since it is smaller than the sum of its proper divisors (367039068).

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

202013220 is a wasteful number, since it uses less digits than its factorization.

202013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20340 (or 20338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202013220 is about 14213.1354739199. The cubic root of 202013220 is about 586.7592305449.

Adding to 202013220 its reverse (22310202), we get a palindrome (224323422).

The spelling of 202013220 in words is "two hundred two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 10020 20161 40322 60483 80644 100805 120966 201610 241932 302415 403220 604830 1209660 3366887 6733774 10100661 13467548 16834435 20201322 33668870 40402644 50503305 67337740 101006610 202013220