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2190023640 = 23325721767109
BaseRepresentation
bin1000001010001001…
…0001101111011000
312122121220201122200
42002202101233120
513441121224030
61001151450200
7105161615400
oct20242215730
95577821580
102190023640
11a242361a2
12511526960
1328b94a79c
1416ac01800
15cc3ead60
hex82891bd8

2190023640 has 576 divisors, whose sum is σ = 8979141600. Its totient is φ = 459841536.

The previous prime is 2190023639. The next prime is 2190023699. The reversal of 2190023640 is 463200912.

2190023640 is a `hidden beast` number, since 2 + 19 + 0 + 0 + 2 + 3 + 640 = 666.

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 143 ways as a sum of consecutive naturals, for example, 20091906 + ... + 20092014.

Almost surely, 22190023640 is an apocalyptic number.

2190023640 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 2190023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489570800).

2190023640 is an abundant number, since it is smaller than the sum of its proper divisors (6789117960).

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

2190023640 is a wasteful number, since it uses less digits than its factorization.

2190023640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2190023640 is about 46797.6884044501. The cubic root of 2190023640 is about 1298.6225330759.

The spelling of 2190023640 in words is "two billion, one hundred ninety million, twenty-three thousand, six hundred forty".