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2196051264 = 2636112389
BaseRepresentation
bin1000001011100101…
…0001010101000000
312200001020222000000
42002321101111000
513444142120024
61001525000000
7105264061551
oct20271212500
95601228000
102196051264
11a27682900
12513553000
1328cc7b224
1416b930328
15ccbdbcc9
hex82e51540

2196051264 has 294 divisors, whose sum is σ = 7200126570. Its totient is φ = 663759360.

The previous prime is 2196051259. The next prime is 2196051281. The reversal of 2196051264 is 4621506912.

2196051264 is a `hidden beast` number, since 21 + 9 + 60 + 512 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1631513664 + 564537600 = 40392^2 + 23760^2 .

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

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 41 ways as a sum of consecutive naturals, for example, 5645182 + ... + 5645570.

Almost surely, 22196051264 is an apocalyptic number.

2196051264 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 2196051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600063285).

2196051264 is an abundant number, since it is smaller than the sum of its proper divisors (5004075306).

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

2196051264 is an equidigital number, since it uses as much as digits as its factorization.

2196051264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2196051264 is about 46862.0450257989. The cubic root of 2196051264 is about 1299.8128456415.

The spelling of 2196051264 in words is "two billion, one hundred ninety-six million, fifty-one thousand, two hundred sixty-four".