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2190897720 = 233551131661
BaseRepresentation
bin1000001010010110…
…0111001000111000
312122200120010200000
42002211213020320
513441332211340
61001222313000
7105202215624
oct20245471070
95580503600
102190897720
11a24782980
12511888760
1328bb955ab
1416ad8c184
15cc51ed30
hex82967238

2190897720 has 384 divisors, whose sum is σ = 8327854080. Its totient is φ = 513216000.

The previous prime is 2190897719. The next prime is 2190897767. The reversal of 2190897720 is 277980912.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 3314190 + ... + 3314850.

It is an arithmetic number, because the mean of its divisors is an integer number (21687120).

Almost surely, 22190897720 is an apocalyptic number.

2190897720 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 2190897720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163927040).

2190897720 is an abundant number, since it is smaller than the sum of its proper divisors (6136956360).

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

2190897720 is a wasteful number, since it uses less digits than its factorization.

2190897720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 2190897720 is about 46807.0263956171. The cubic root of 2190897720 is about 1298.7952783959.

The spelling of 2190897720 in words is "two billion, one hundred ninety million, eight hundred ninety-seven thousand, seven hundred twenty".