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2196843264 = 283272112961
BaseRepresentation
bin1000001011110001…
…0010101100000000
312200002202012102100
42002330102230000
513444342441024
61001553550400
7105303600600
oct20274225400
95602665370
102196843264
11a28073950
12513875400
13290197875
1416ba98c00
15ccce67c9
hex82f12b00

2196843264 has 648 divisors, whose sum is σ = 8451490320. Its totient is φ = 541900800.

The previous prime is 2196843247. The next prime is 2196843277. The reversal of 2196843264 is 4623486912.

It is a super-2 number, since 2×21968432642 = 9652240653164347392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 36013794 + ... + 36013854.

Almost surely, 22196843264 is an apocalyptic number.

2196843264 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 2196843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225745160).

2196843264 is an abundant number, since it is smaller than the sum of its proper divisors (6254647056).

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

2196843264 is a wasteful number, since it uses less digits than its factorization.

2196843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2196843264 is about 46870.4945994812. The cubic root of 2196843264 is about 1299.9690848664.

The spelling of 2196843264 in words is "two billion, one hundred ninety-six million, eight hundred forty-three thousand, two hundred sixty-four".