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244152160 = 2557297517
BaseRepresentation
bin11101000110101…
…11011101100000
3122000102012210121
432203113131200
51000000332120
640121010024
76023154610
oct1643273540
9560365717
10244152160
111158aa14a
1269923914
133b775a45
14245d6a40
151667b5aa
hexe8d7760

244152160 has 96 divisors (see below), whose sum is σ = 682032960. Its totient is φ = 80812032.

The previous prime is 244152137. The next prime is 244152191. The reversal of 244152160 is 61251442.

It is a happy number.

244152160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2441521602 = 119220554465331200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28722 + ... + 36238.

It is an arithmetic number, because the mean of its divisors is an integer number (7104510).

Almost surely, 2244152160 is an apocalyptic number.

244152160 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 244152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341016480).

244152160 is an abundant number, since it is smaller than the sum of its proper divisors (437880800).

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

244152160 is a wasteful number, since it uses less digits than its factorization.

244152160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7568 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 244152160 is about 15625.3691156401. The cubic root of 244152160 is about 625.0098430450.

The spelling of 244152160 in words is "two hundred forty-four million, one hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 4060 4640 6496 7517 8120 15034 16240 30068 32480 37585 52619 60136 75170 105238 120272 150340 210476 217993 240544 263095 300680 420952 435986 526190 601360 841904 871972 1052380 1089965 1202720 1525951 1683808 1743944 2104760 2179930 3051902 3487888 4209520 4359860 6103804 6975776 7629755 8419040 8719720 12207608 15259510 17439440 24415216 30519020 34878880 48830432 61038040 122076080 244152160