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244919136 = 253711171949
BaseRepresentation
bin11101001100100…
…10101101100000
3122001212011220010
432212102231200
51000144403021
640145244520
76032530650
oct1646225540
9561764803
10244919136
11116283410
126a033740
133b983b87
1424756360
151677d976
hexe992b60

244919136 has 192 divisors, whose sum is σ = 849139200. Its totient is φ = 59842560.

The previous prime is 244919113. The next prime is 244919141. The reversal of 244919136 is 631919442.

244919136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 244919094 and 244919103.

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 31 ways as a sum of consecutive naturals, for example, 124690 + ... + 126638.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2244919136 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 244919136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

244919136 is an abundant number, since it is smaller than the sum of its proper divisors (604220064).

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

244919136 is a wasteful number, since it uses less digits than its factorization.

244919136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1989 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 244919136 is about 15649.8925235926. The cubic root of 244919136 is about 625.6636245013.

The spelling of 244919136 in words is "two hundred forty-four million, nine hundred nineteen thousand, one hundred thirty-six".