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244226949120 = 215345711239
BaseRepresentation
bin1110001101110100001…
…1111000000000000000
3212100101121002111010000
43203131003320000000
513000134044332440
6304110223040000
723434112546430
oct3433503700000
9770347074100
10244226949120
1194637822720
123b3bb140000
131a05202485b
14bb6bbdc2c0
1565460b0730
hex38dd0f8000

244226949120 has 1280 divisors, whose sum is σ = 1096206566400. Its totient is φ = 50536120320.

The previous prime is 244226949119. The next prime is 244226949143. The reversal of 244226949120 is 21949622442.

It is a happy number.

244226949120 is a `hidden beast` number, since 2 + 4 + 422 + 69 + 49 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1021869961 + ... + 1021870199.

It is an arithmetic number, because the mean of its divisors is an integer number (856411380).

Almost surely, 2244226949120 is an apocalyptic number.

244226949120 is a gapful number since it is divisible by the number (20) 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 244226949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548103283200).

244226949120 is an abundant number, since it is smaller than the sum of its proper divisors (851979617280).

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

244226949120 is an equidigital number, since it uses as much as digits as its factorization.

244226949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 244226949120 in words is "two hundred forty-four billion, two hundred twenty-six million, nine hundred forty-nine thousand, one hundred twenty".