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202210020 = 223852367
BaseRepresentation
bin11000000110101…
…11101011100100
3112002111100000000
430003113223210
5403231210040
632022021300
75003520405
oct1403275344
9462440000
10202210020
11a4162421
1257877830
1332b7c1cc
141cbd99ac
1512b44130
hexc0d7ae4

202210020 has 216 divisors, whose sum is σ = 674541504. Its totient is φ = 50808384.

The previous prime is 202209971. The next prime is 202210033. The reversal of 202210020 is 20012202.

202210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202209984 and 202210011.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3018027 + ... + 3018093.

Almost surely, 2202210020 is an apocalyptic number.

202210020 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 202210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337270752).

202210020 is an abundant number, since it is smaller than the sum of its proper divisors (472331484).

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

202210020 is an equidigital number, since it uses as much as digits as its factorization.

202210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202210020 is about 14220.0569619112. The cubic root of 202210020 is about 586.9497077470.

Adding to 202210020 its reverse (20012202), we get a palindrome (222222222).

The spelling of 202210020 in words is "two hundred two million, two hundred ten thousand, twenty".