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2197371264 = 273113197173
BaseRepresentation
bin1000001011111001…
…0011100110000000
312200010202000200220
42002332103212000
514000011340024
61002013143040
7105311230134
oct20276234600
95603660626
102197371264
11a283a4610
12513a8aa80
13290320caa
1416bb953c4
15ccd9ce79
hex82f93980

2197371264 has 256 divisors, whose sum is σ = 6678927360. Its totient is φ = 634060800.

The previous prime is 2197371259. The next prime is 2197371271. The reversal of 2197371264 is 4621737912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12701482 + ... + 12701654.

It is an arithmetic number, because the mean of its divisors is an integer number (26089560).

Almost surely, 22197371264 is an apocalyptic number.

2197371264 is a gapful number since it is divisible by the number (24) 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 2197371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339463680).

2197371264 is an abundant number, since it is smaller than the sum of its proper divisors (4481556096).

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

2197371264 is a wasteful number, since it uses less digits than its factorization.

2197371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 2197371264 is about 46876.1268024567. The cubic root of 2197371264 is about 1300.0732234890.

The spelling of 2197371264 in words is "two billion, one hundred ninety-seven million, three hundred seventy-one thousand, two hundred sixty-four".