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2193799680 = 29335171867
BaseRepresentation
bin1000001011000010…
…1011101000000000
312122220000120102000
42002300223220000
513443103042210
61001404424000
7105235663302
oct20260535000
95586016360
102193799680
11a26385196
12512848000
1328c670427
1416b505972
15cc8e4ac0
hex82c2ba00

2193799680 has 320 divisors, whose sum is σ = 8255364480. Its totient is φ = 550305792.

The previous prime is 2193799633. The next prime is 2193799687. The reversal of 2193799680 is 869973912.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2193799687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174107 + ... + 1175973.

It is an arithmetic number, because the mean of its divisors is an integer number (25798014).

Almost surely, 22193799680 is an apocalyptic number.

2193799680 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 2193799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127682240).

2193799680 is an abundant number, since it is smaller than the sum of its proper divisors (6061564800).

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

2193799680 is a wasteful number, since it uses less digits than its factorization.

2193799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 2193799680 is about 46838.0153294309. The cubic root of 2193799680 is about 1299.3684664293.

The spelling of 2193799680 in words is "two billion, one hundred ninety-three million, seven hundred ninety-nine thousand, six hundred eighty".