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202002020 = 225111019091
BaseRepresentation
bin11000000101001…
…00111001100100
3112002002202200022
430002210321210
5403203031040
632013334312
75001663113
oct1402447144
9462082608
10202002020
11a4030120
1257797398
1332b0862c
141cb83c7a
1512b026b5
hexc0a4e64

202002020 has 48 divisors (see below), whose sum is σ = 467401536. Its totient is φ = 72720000.

The previous prime is 202002013. The next prime is 202002061. The reversal of 202002020 is 20200202.

Adding to 202002020 its reverse (20200202), we get a palindrome (222202222).

It is a junction number, because it is equal to n+sod(n) for n = 202001989 and 202002007.

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 15 ways as a sum of consecutive naturals, for example, 17675 + ... + 26765.

It is an arithmetic number, because the mean of its divisors is an integer number (9737532).

Almost surely, 2202002020 is an apocalyptic number.

202002020 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 202002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233700768).

202002020 is an abundant number, since it is smaller than the sum of its proper divisors (265399516).

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

202002020 is a wasteful number, since it uses less digits than its factorization.

202002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 202002020 is about 14212.7414667263. The cubic root of 202002020 is about 586.7483866592.

The spelling of 202002020 in words is "two hundred two million, two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 9091 11110 18182 22220 36364 45455 90910 100001 181820 200002 400004 500005 918191 1000010 1836382 2000020 3672764 4590955 9181910 10100101 18363820 20200202 40400404 50500505 101001010 202002020