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244996000 = 2553232663
BaseRepresentation
bin11101001101001…
…01011110100000
3122002000002022221
432212211132200
51000204333000
640151040424
76033301024
oct1646453640
9562002287
10244996000
11116326137
126a070114
133b9acb62
1424776384
151679661a
hexe9a57a0

244996000 has 96 divisors (see below), whose sum is σ = 628363008. Its totient is φ = 93702400.

The previous prime is 244995941. The next prime is 244996057. The reversal of 244996000 is 699442.

244996000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 90669 + ... + 93331.

It is an arithmetic number, because the mean of its divisors is an integer number (6545448).

Almost surely, 2244996000 is an apocalyptic number.

244996000 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 244996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314181504).

244996000 is an abundant number, since it is smaller than the sum of its proper divisors (383367008).

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

244996000 is a wasteful number, since it uses less digits than its factorization.

244996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 244996000 is about 15652.3480666640. The cubic root of 244996000 is about 625.7290692023.

The spelling of 244996000 in words is "two hundred forty-four million, nine hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2663 2875 3680 4000 4600 5326 5750 9200 10652 11500 13315 18400 21304 23000 26630 42608 46000 53260 61249 66575 85216 92000 106520 122498 133150 213040 244996 266300 306245 332875 426080 489992 532600 612490 665750 979984 1065200 1224980 1331500 1531225 1959968 2130400 2449960 2663000 3062450 4899920 5326000 6124900 7656125 9799840 10652000 12249800 15312250 24499600 30624500 48999200 61249000 122498000 244996000