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2196562368 = 2637112131039
BaseRepresentation
bin1000001011101100…
…1110000111000000
312200002012221002210
42002323032013000
513444304443433
61001543542120
7105301320630
oct20273160700
95602187083
102196562368
11a279a1900
1251375a940
132900c9a60
1416ba246c0
15ccc8d463
hex82ece1c0

2196562368 has 336 divisors, whose sum is σ = 7869854720. Its totient is φ = 526141440.

The previous prime is 2196562339. The next prime is 2196562391. The reversal of 2196562368 is 8632656912.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 2113593 + ... + 2114631.

Almost surely, 22196562368 is an apocalyptic number.

2196562368 is a gapful number since it is divisible by the number (28) 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 2196562368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934927360).

2196562368 is an abundant number, since it is smaller than the sum of its proper divisors (5673292352).

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

2196562368 is a wasteful number, since it uses less digits than its factorization.

2196562368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1075 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 2196562368 is about 46867.4979916786. The cubic root of 2196562368 is about 1299.9136763193.

The spelling of 2196562368 in words is "two billion, one hundred ninety-six million, five hundred sixty-two thousand, three hundred sixty-eight".