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2202149000 = 23532202149
BaseRepresentation
bin1000001101000010…
…0010000010001000
312200110201202112002
42003100202002020
514002222232000
61002303410132
7105366646322
oct20320420210
95613652462
102202149000
11a30068157
125155b3948
1329130485c
1416c67a612
15cd4e38d5
hex83422088

2202149000 has 32 divisors (see below), whose sum is σ = 5153031000. Its totient is φ = 880859200.

The previous prime is 2202148997. The next prime is 2202149003. The reversal of 2202149000 is 9412022.

It is an interprime number because it is at equal distance from previous prime (2202148997) and next prime (2202149003).

It can be written as a sum of positive squares in 4 ways, for example, as 104325796 + 2097823204 = 10214^2 + 45802^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2202149003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1100075 + ... + 1102074.

Almost surely, 22202149000 is an apocalyptic number.

2202149000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202149000 is an abundant number, since it is smaller than the sum of its proper divisors (2950882000).

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

2202149000 is a wasteful number, since it uses less digits than its factorization.

2202149000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202170 (or 2202156 counting only the distinct ones).

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

The square root of 2202149000 is about 46927.0604235978. The cubic root of 2202149000 is about 1301.0147894958.

The spelling of 2202149000 in words is "two billion, two hundred two million, one hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2202149 4404298 8808596 11010745 17617192 22021490 44042980 55053725 88085960 110107450 220214900 275268625 440429800 550537250 1101074500 2202149000