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2243774016 = 2632112389173
BaseRepresentation
bin1000010110111101…
…0100011001000000
312210101001112022100
42011233110121000
514043401232031
61010351510400
7106413523131
oct20557243100
95711045270
102243774016
11a516086a0
12527528400
13299b19c43
14173dd3c88
15d1eb6de6
hex85bd4640

2243774016 has 336 divisors, whose sum is σ = 7446142080. Its totient is φ = 639344640.

The previous prime is 2243774003. The next prime is 2243774033. The reversal of 2243774016 is 6104773422.

2243774016 is a `hidden beast` number, since 2 + 243 + 7 + 7 + 401 + 6 = 666.

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

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, 12969706 + ... + 12969878.

Almost surely, 22243774016 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 2243774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723071040).

2243774016 is an abundant number, since it is smaller than the sum of its proper divisors (5202368064).

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

2243774016 is a wasteful number, since it uses less digits than its factorization.

2243774016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2243774016 is about 47368.4918062629. The cubic root of 2243774016 is about 1309.1609365738.

The spelling of 2243774016 in words is "two billion, two hundred forty-three million, seven hundred seventy-four thousand, sixteen".