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2157230880 = 25345724379
BaseRepresentation
bin1000000010010100…
…1011101100100000
312120100012200110000
42000211023230200
513404222342010
6554020540000
7104313105600
oct20045135440
95510180400
102157230880
11a07778542
12502551600
13284c0859c
14166706c00
15c95be7c0
hex8094bb20

2157230880 has 720 divisors, whose sum is σ = 9176872320. Its totient is φ = 475517952.

The previous prime is 2157230879. The next prime is 2157230893. The reversal of 2157230880 is 880327512.

2157230880 is a `hidden beast` number, since 2 + 1 + 572 + 3 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27306681 + ... + 27306759.

It is an arithmetic number, because the mean of its divisors is an integer number (12745656).

Almost surely, 22157230880 is an apocalyptic number.

2157230880 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 2157230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588436160).

2157230880 is an abundant number, since it is smaller than the sum of its proper divisors (7019641440).

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

2157230880 is a wasteful number, since it uses less digits than its factorization.

2157230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2157230880 is about 46445.9996124532. Note that the first 3 decimals coincide. The cubic root of 2157230880 is about 1292.1081807387.

Adding to 2157230880 its sum of digits (36), we get a square (2157230916 = 464462).

The spelling of 2157230880 in words is "two billion, one hundred fifty-seven million, two hundred thirty thousand, eight hundred eighty".