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244072160 = 2552336547
BaseRepresentation
bin11101000110000…
…11111011100000
3122000021011001122
432203003323200
5444440302120
640115151412
76022402433
oct1643037340
9560234048
10244072160
11115855032
12698a5568
133b7484c7
14245b581a
1516662a25
hexe8c3ee0

244072160 has 48 divisors (see below), whose sum is σ = 579183696. Its totient is φ = 97195008.

The previous prime is 244072151. The next prime is 244072181. The reversal of 244072160 is 61270442.

244072160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34007 + ... + 40553.

It is an arithmetic number, because the mean of its divisors is an integer number (12066327).

Almost surely, 2244072160 is an apocalyptic number.

244072160 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 244072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289591848).

244072160 is an abundant number, since it is smaller than the sum of its proper divisors (335111536).

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

244072160 is a wasteful number, since it uses less digits than its factorization.

244072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 244072160 is about 15622.8089663799. The cubic root of 244072160 is about 624.9415710712.

The spelling of 244072160 in words is "two hundred forty-four million, seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 466 932 1165 1864 2330 3728 4660 6547 7456 9320 13094 18640 26188 32735 37280 52376 65470 104752 130940 209504 261880 523760 1047520 1525451 3050902 6101804 7627255 12203608 15254510 24407216 30509020 48814432 61018040 122036080 244072160