Search a number
-
+
2199674880 = 2133551317
BaseRepresentation
bin1000001100011100…
…0110000000000000
312200022002001200000
42003013012000000
514001104044010
61002134400000
7105336633204
oct20307060000
95608061600
102199674880
11a29728327
12514800000
13290949690
1416c1d4b04
15cd1a57c0
hex831c6000

2199674880 has 672 divisors, whose sum is σ = 9016678944. Its totient is φ = 509607936.

The previous prime is 2199674849. The next prime is 2199674891. The reversal of 2199674880 is 884769912.

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

It is a congruent number.

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, 129392632 + ... + 129392648.

It is an arithmetic number, because the mean of its divisors is an integer number (13417677).

Almost surely, 22199674880 is an apocalyptic number.

2199674880 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 2199674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508339472).

2199674880 is an abundant number, since it is smaller than the sum of its proper divisors (6817004064).

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

2199674880 is an equidigital number, since it uses as much as digits as its factorization.

2199674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2199674880 is about 46900.6916793345. The cubic root of 2199674880 is about 1300.5273757722.

The spelling of 2199674880 in words is "two billion, one hundred ninety-nine million, six hundred seventy-four thousand, eight hundred eighty".