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242444900 = 22528927241
BaseRepresentation
bin11100111001101…
…10101001100100
3121220012110212202
432130312221210
5444031214100
640020234032
76002514305
oct1634665144
9556173782
10242444900
11114943495
126923b918
133b2c8929
14242b07ac
15164407d5
hexe736a64

242444900 has 36 divisors (see below), whose sum is σ = 532036260. Its totient is φ = 95884800.

The previous prime is 242444897. The next prime is 242444911. The reversal of 242444900 is 9444242.

It can be written as a sum of positive squares in 6 ways, for example, as 891136 + 241553764 = 944^2 + 15542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4721 + ... + 22520.

It is an arithmetic number, because the mean of its divisors is an integer number (14778785).

Almost surely, 2242444900 is an apocalyptic number.

242444900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242444900 is an abundant number, since it is smaller than the sum of its proper divisors (289591360).

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

242444900 is a wasteful number, since it uses less digits than its factorization.

242444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27344 (or 27337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 242444900 is about 15570.6422475118. The cubic root of 242444900 is about 623.5496181649.

The spelling of 242444900 in words is "two hundred forty-two million, four hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 27241 54482 108964 136205 272410 544820 681025 1362050 2424449 2724100 4848898 9697796 12122245 24244490 48488980 60611225 121222450 242444900