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202032020 = 22514297069
BaseRepresentation
bin11000000101011…
…00001110010100
3112002011021211102
430002230032110
5403210011040
632014125232
75002146431
oct1402541624
9462137742
10202032020
11a4050713
12577b0818
1332b19198
141cb90b88
1512b0b515
hexc0ac394

202032020 has 24 divisors (see below), whose sum is σ = 424624200. Its totient is φ = 80744832.

The previous prime is 202032011. The next prime is 202032031. The reversal of 202032020 is 20230202.

It can be written as a sum of positive squares in 4 ways, for example, as 51076 + 201980944 = 226^2 + 14212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202031992 and 202032010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25046 + ... + 32114.

It is an arithmetic number, because the mean of its divisors is an integer number (17692675).

Almost surely, 2202032020 is an apocalyptic number.

202032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202032020 is an abundant number, since it is smaller than the sum of its proper divisors (222592180).

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

202032020 is a wasteful number, since it uses less digits than its factorization.

202032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 202032020 is about 14213.7968185844. The cubic root of 202032020 is about 586.7774318807. Note that the first 3 decimals are identical.

Adding to 202032020 its reverse (20230202), we get a palindrome (222262222).

The spelling of 202032020 in words is "two hundred two million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1429 2858 5716 7069 7145 14138 14290 28276 28580 35345 70690 141380 10101601 20203202 40406404 50508005 101016010 202032020