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10022002200 = 23325271941863
BaseRepresentation
bin10010101010101101…
…11001111000011000
3221212110011110110200
421111112321320120
5131011113032300
64334250142200
7503232420210
oct112526717030
927773143420
1010022002200
114283182651
121b38421960
13c39422022
146b104d240
153d9ca7200
hex2555b9e18

10022002200 has 288 divisors, whose sum is σ = 40490860800. Its totient is φ = 2170126080.

The previous prime is 10022002189. The next prime is 10022002253. The reversal of 10022002200 is 220022001.

10022002200 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 super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218469 + ... + 260331.

Almost surely, 210022002200 is an apocalyptic number.

10022002200 is a gapful number since it is divisible by the number (10) 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 10022002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245430400).

10022002200 is an abundant number, since it is smaller than the sum of its proper divisors (30468858600).

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

10022002200 is a wasteful number, since it uses less digits than its factorization.

10022002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41911 (or 41899 counting only the distinct ones).

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

Adding to 10022002200 its reverse (220022001), we get a palindrome (10242024201).

The spelling of 10022002200 in words is "ten billion, twenty-two million, two thousand, two hundred".