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2199800880 = 2432541431733
BaseRepresentation
bin1000001100011110…
…0100110000110000
312200022022110111200
42003013210300300
514001122112010
61002141211200
7105340666434
oct20307446060
95608273450
102199800880
11a29803a62
12514860b00
13290991b34
1416c2289c4
15cd1cccc0
hex831e4c30

2199800880 has 240 divisors, whose sum is σ = 7748316576. Its totient is φ = 558673920.

The previous prime is 2199800857. The next prime is 2199800957. The reversal of 2199800880 is 880089912.

It is a tau number, because it is divible by the number of its divisors (240).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1268494 + ... + 1270226.

Almost surely, 22199800880 is an apocalyptic number.

2199800880 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 2199800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874158288).

2199800880 is an abundant number, since it is smaller than the sum of its proper divisors (5548515696).

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

2199800880 is a wasteful number, since it uses less digits than its factorization.

2199800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 2199800880 is about 46902.0349238708. The cubic root of 2199800880 is about 1300.5522072177.

The spelling of 2199800880 in words is "two billion, one hundred ninety-nine million, eight hundred thousand, eight hundred eighty".