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2197308960 = 25325721119149
BaseRepresentation
bin1000001011111000…
…0100011000100000
312200010121212020100
42002332010120200
514000002341320
61002011542400
7105310550400
oct20276043040
95603555210
102197308960
11a28361820
12513a5aa00
132902cb822
1416bb7a800
15ccd89790
hex82f84620

2197308960 has 864 divisors, whose sum is σ = 10083528000. Its totient is φ = 429649920.

The previous prime is 2197308959. The next prime is 2197308977. The reversal of 2197308960 is 698037912.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 14746966 + ... + 14747114.

It is an arithmetic number, because the mean of its divisors is an integer number (11670750).

Almost surely, 22197308960 is an apocalyptic number.

2197308960 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 2197308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041764000).

2197308960 is an abundant number, since it is smaller than the sum of its proper divisors (7886219040).

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

2197308960 is a wasteful number, since it uses less digits than its factorization.

2197308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2197308960 is about 46875.4622377209. The cubic root of 2197308960 is about 1300.0609359997.

The spelling of 2197308960 in words is "two billion, one hundred ninety-seven million, three hundred eight thousand, nine hundred sixty".