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2199799680 = 273513312843
BaseRepresentation
bin1000001100011110…
…0100011110000000
312200022022101212020
42003013210132000
514001122042210
61002141201440
7105340663101
oct20307443600
95608271766
102199799680
11a29803071
12514860280
13290991420
1416c2283a8
15cd1cc770
hex831e4780

2199799680 has 256 divisors, whose sum is σ = 7797565440. Its totient is φ = 523837440.

The previous prime is 2199799673. The next prime is 2199799681. The reversal of 2199799680 is 869979912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199799681) 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, 772339 + ... + 775181.

It is an arithmetic number, because the mean of its divisors is an integer number (30459240).

Almost surely, 22199799680 is an apocalyptic number.

2199799680 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 2199799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898782720).

2199799680 is an abundant number, since it is smaller than the sum of its proper divisors (5597765760).

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

2199799680 is a wasteful number, since it uses less digits than its factorization.

2199799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 60.

The square root of 2199799680 is about 46902.0221312472. The cubic root of 2199799680 is about 1300.5519707322.

The spelling of 2199799680 in words is "two billion, one hundred ninety-nine million, seven hundred ninety-nine thousand, six hundred eighty".