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2190691008 = 26341141937
BaseRepresentation
bin1000001010010011…
…0100101011000000
312122200011122010000
42002210310223000
513441304103013
61001214040000
7105200365152
oct20244645300
95580148100
102190691008
11a24651640
125117a9000
1328bb2248c
1416ad36ad2
15cc4cd973
hex82934ac0

2190691008 has 280 divisors, whose sum is σ = 7264779984. Its totient is φ = 646963200.

The previous prime is 2190691007. The next prime is 2190691033. The reversal of 2190691008 is 8001960912.

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

It is not an unprimeable number, because it can be changed into a prime (2190691003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2337516 + ... + 2338452.

Almost surely, 22190691008 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 2190691008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632389992).

2190691008 is an abundant number, since it is smaller than the sum of its proper divisors (5074088976).

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

2190691008 is a wasteful number, since it uses less digits than its factorization.

2190691008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 2190691008 is about 46804.8182135130. The cubic root of 2190691008 is about 1298.7544298416.

The spelling of 2190691008 in words is "two billion, one hundred ninety million, six hundred ninety-one thousand, eight".