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2190399000 = 2335317291481
BaseRepresentation
bin1000001010001110…
…1101011000011000
312122122121210112220
42002203231120120
513441220232000
61001203504040
7105165040626
oct20243553030
95578553486
102190399000
11a24472209
12511688020
1328ba4c5aa
1416ac9c516
15cc4721a0
hex828ed618

2190399000 has 256 divisors, whose sum is σ = 7490620800. Its totient is φ = 530432000.

The previous prime is 2190398981. The next prime is 2190399007. The reversal of 2190399000 is 9930912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190399007) by changing a digit.

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, 1478260 + ... + 1479740.

Almost surely, 22190399000 is an apocalyptic number.

2190399000 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 2190399000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745310400).

2190399000 is an abundant number, since it is smaller than the sum of its proper divisors (5300221800).

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

2190399000 is a wasteful number, since it uses less digits than its factorization.

2190399000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 2190399000 is about 46801.6986871203. The cubic root of 2190399000 is about 1298.6967214847.

The spelling of 2190399000 in words is "two billion, one hundred ninety million, three hundred ninety-nine thousand".