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244418112 = 263217109229
BaseRepresentation
bin11101001000110…
…00011001000000
3122000220201121200
432210120121000
51000032334422
640130421200
76025343151
oct1644303100
9560821550
10244418112
11115a70a44
1269a31800
133b839b03
1424665928
15166d02ac
hexe918640

244418112 has 168 divisors, whose sum is σ = 751865400. Its totient is φ = 75644928.

The previous prime is 244418107. The next prime is 244418123. The reversal of 244418112 is 211814442.

244418112 is a `hidden beast` number, since 244 + 418 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150405696 + 94012416 = 12264^2 + 9696^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067214 + ... + 1067442.

Almost surely, 2244418112 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 244418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375932700).

244418112 is an abundant number, since it is smaller than the sum of its proper divisors (507447288).

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

244418112 is a wasteful number, since it uses less digits than its factorization.

244418112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 244418112 is about 15633.8770623285. The cubic root of 244418112 is about 625.2366992529.

The spelling of 244418112 in words is "two hundred forty-four million, four hundred eighteen thousand, one hundred twelve".