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244320100 = 225247227229
BaseRepresentation
bin11101001000000…
…00011101100100
3122000201202011121
432210000131210
51000021220400
640124343324
76024454333
oct1644003544
9560652147
10244320100
11115a04342
12699a4b44
133b80430b
142463bd1a
15166b121a
hexe900764

244320100 has 72 divisors (see below), whose sum is σ = 546215040. Its totient is φ = 94811520.

The previous prime is 244320079. The next prime is 244320119. The reversal of 244320100 is 1023442.

244320100 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 2×2443201002 = 119384622528020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066786 + ... + 1067014.

It is an arithmetic number, because the mean of its divisors is an integer number (7586320).

Almost surely, 2244320100 is an apocalyptic number.

244320100 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 244320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273107520).

244320100 is an abundant number, since it is smaller than the sum of its proper divisors (301894940).

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

244320100 is a wasteful number, since it uses less digits than its factorization.

244320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 244320100 is about 15630.7421448887. The cubic root of 244320100 is about 625.1531144865.

Adding to 244320100 its reverse (1023442), we get a palindrome (245343542).

The spelling of 244320100 in words is "two hundred forty-four million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 227 229 235 454 458 470 908 916 940 1135 1145 1175 2270 2290 2350 4540 4580 4700 5675 5725 10669 10763 11350 11450 21338 21526 22700 22900 42676 43052 51983 53345 53815 103966 106690 107630 207932 213380 215260 259915 266725 269075 519830 533450 538150 1039660 1066900 1076300 1299575 2443201 2599150 4886402 5198300 9772804 12216005 24432010 48864020 61080025 122160050 244320100