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2190130488 = 233471322857
BaseRepresentation
bin1000001010001010…
…1011110100111000
312122122010011020000
42002202223310320
513441133133423
61001154033000
7105162542040
oct20242536470
95578104200
102190130488
11a242a94a7
12511578760
1328b987300
1416ac2c720
15cc41c843
hex828abd38

2190130488 has 240 divisors, whose sum is σ = 7594163280. Its totient is φ = 577414656.

The previous prime is 2190130477. The next prime is 2190130543. The reversal of 2190130488 is 8840310912.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 765156 + ... + 768012.

It is an arithmetic number, because the mean of its divisors is an integer number (31642347).

Almost surely, 22190130488 is an apocalyptic number.

2190130488 is a gapful number since it is divisible by the number (28) 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 2190130488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797081640).

2190130488 is an abundant number, since it is smaller than the sum of its proper divisors (5404032792).

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

2190130488 is a wasteful number, since it uses less digits than its factorization.

2190130488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2190130488 is about 46798.8299853746. The cubic root of 2190130488 is about 1298.6436520205.

The spelling of 2190130488 in words is "two billion, one hundred ninety million, one hundred thirty thousand, four hundred eighty-eight".