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2196250560 = 263257279197
BaseRepresentation
bin1000001011101000…
…0001111111000000
312200001122002101100
42002322001333000
513444220004220
61001533134400
7105265551600
oct20272017700
95601562340
102196250560
11a277a9609
1251362a400
1329001ab5a
1416b982c00
15ccc2ad90
hex82e81fc0

2196250560 has 504 divisors, whose sum is σ = 8943929280. Its totient is φ = 493129728.

The previous prime is 2196250559. The next prime is 2196250571. The reversal of 2196250560 is 650526912.

2196250560 is a `hidden beast` number, since 2 + 1 + 96 + 2 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11148382 + ... + 11148578.

Almost surely, 22196250560 is an apocalyptic number.

2196250560 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 2196250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471964640).

2196250560 is an abundant number, since it is smaller than the sum of its proper divisors (6747678720).

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

2196250560 is a wasteful number, since it uses less digits than its factorization.

2196250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2196250560 is about 46864.1713892393. The cubic root of 2196250560 is about 1299.8521646484.

The spelling of 2196250560 in words is "two billion, one hundred ninety-six million, two hundred fifty thousand, five hundred sixty".