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2199115008 = 2835232953
BaseRepresentation
bin1000001100010011…
…1101010100000000
312200021000121200000
42003010331110000
514000433140013
61002114400000
7105332112006
oct20304752400
95607017600
102199115008
11a29385722
12514590000
132907b18ac
1416c0caa76
15cd0e4973
hex8313d500

2199115008 has 432 divisors, whose sum is σ = 7231835520. Its totient is φ = 664215552.

The previous prime is 2199114997. The next prime is 2199115049. The reversal of 2199115008 is 8005119912.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×21991150082 = 9672213636821680128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 41492710 + ... + 41492762.

It is an arithmetic number, because the mean of its divisors is an integer number (16740360).

Almost surely, 22199115008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615917760).

2199115008 is an abundant number, since it is smaller than the sum of its proper divisors (5032720512).

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

2199115008 is an equidigital number, since it uses as much as digits as its factorization.

2199115008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 2199115008 is about 46894.7226028687. The cubic root of 2199115008 is about 1300.4170275485.

The spelling of 2199115008 in words is "two billion, one hundred ninety-nine million, one hundred fifteen thousand, eight".