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2200002000 = 24353731069
BaseRepresentation
bin1000001100100001…
…0101110111010000
312200022200200101120
42003020111313100
514001200031000
61002145402240
7105342465000
oct20310256720
95608620346
102200002000
11a29931079
12514939380
13290a32541
1416c27c000
15cd21c6a0
hex83215dd0

2200002000 has 320 divisors, whose sum is σ = 8279232000. Its totient is φ = 502387200.

The previous prime is 2200001989. The next prime is 2200002019. The reversal of 2200002000 is 2000022.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2200002000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2057466 + ... + 2058534.

It is an arithmetic number, because the mean of its divisors is an integer number (25872600).

Almost surely, 22200002000 is an apocalyptic number.

2200002000 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 2200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139616000).

2200002000 is an abundant number, since it is smaller than the sum of its proper divisors (6079230000).

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

2200002000 is a wasteful number, since it uses less digits than its factorization.

2200002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2200002000 is about 46904.1789183011. The cubic root of 2200002000 is about 1300.5918409699.

Adding to 2200002000 its reverse (2000022), we get a palindrome (2202002022).

The spelling of 2200002000 in words is "two billion, two hundred million, two thousand".