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2193002496 = 212321931101
BaseRepresentation
bin1000001010110110…
…1001000000000000
312122211112001212200
42002231221000000
513442402034441
61001335353200
7105226133166
oct20255510000
95584461780
102193002496
11a25990263
12512522800
1328c451619
1416b379236
15cc7d87b6
hex82b69000

2193002496 has 312 divisors, whose sum is σ = 6951210240. Its totient is φ = 663552000.

The previous prime is 2193002491. The next prime is 2193002503. The reversal of 2193002496 is 6942003912.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2193002496.

It is not an unprimeable number, because it can be changed into a prime (2193002491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21712846 + ... + 21712946.

It is an arithmetic number, because the mean of its divisors is an integer number (22279520).

Almost surely, 22193002496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475605120).

2193002496 is an abundant number, since it is smaller than the sum of its proper divisors (4758207744).

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

2193002496 is a wasteful number, since it uses less digits than its factorization.

2193002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2193002496 is about 46829.5045457455. The cubic root of 2193002496 is about 1299.2110589787.

The spelling of 2193002496 in words is "two billion, one hundred ninety-three million, two thousand, four hundred ninety-six".