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202021940 = 22510101097
BaseRepresentation
bin11000000101010…
…01110000110100
3112002010210000002
430002221300310
5403204200230
632014010432
75002105151
oct1402516064
9462123002
10202021940
11a404408a
12577a6a18
1332b14713
141cb8b228
1512b08545
hexc0a9c34

202021940 has 12 divisors (see below), whose sum is σ = 424246116. Its totient is φ = 80808768.

The previous prime is 202021921. The next prime is 202021957. The reversal of 202021940 is 49120202.

It can be written as a sum of positive squares in 2 ways, for example, as 65739664 + 136282276 = 8108^2 + 11674^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10101097 = 202021940 / (2 + 0 + 2 + 0 + 2 + 1 + 9 + 4 + 0).

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 3 ways as a sum of consecutive naturals, for example, 5050529 + ... + 5050568.

It is an arithmetic number, because the mean of its divisors is an integer number (35353843).

Almost surely, 2202021940 is an apocalyptic number.

202021940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202021940 is an abundant number, since it is smaller than the sum of its proper divisors (222224176).

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

202021940 is a wasteful number, since it uses less digits than its factorization.

202021940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101106 (or 10101104 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 202021940 is about 14213.4422291013. The cubic root of 202021940 is about 586.7676730071.

The spelling of 202021940 in words is "two hundred two million, twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 10101097 20202194 40404388 50505485 101010970 202021940