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242339200 = 275275731
BaseRepresentation
bin11100111000111…
…00110110000000
3121220000002212221
432130130312000
5444014323300
640014100424
76001564165
oct1634346600
9556002787
10242339200
11114881034
12691aa714
133b28c79c
142428406c
151641e31a
hexe71cd80

242339200 has 48 divisors (see below), whose sum is σ = 598661460. Its totient is φ = 96934400.

The previous prime is 242339179. The next prime is 242339213. The reversal of 242339200 is 2933242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34666 + ... + 41065.

Almost surely, 2242339200 is an apocalyptic number.

242339200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242339200 is an abundant number, since it is smaller than the sum of its proper divisors (356322260).

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

242339200 is an equidigital number, since it uses as much as digits as its factorization.

242339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75755 (or 75738 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 242339200 is about 15567.2476693859. The cubic root of 242339200 is about 623.4589875719.

It can be divided in two parts, 24233 and 9200, that added together give a palindrome (33433).

The spelling of 242339200 in words is "two hundred forty-two million, three hundred thirty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 75731 151462 302924 378655 605848 757310 1211696 1514620 1893275 2423392 3029240 3786550 4846784 6058480 7573100 9693568 12116960 15146200 24233920 30292400 48467840 60584800 121169600 242339200