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242489400 = 233521989239
BaseRepresentation
bin11100111010000…
…01100000111000
3121220021201220220
432131001200320
5444034130100
640021220040
76003061116
oct1635014070
9556251826
10242489400
1111497396a
1269261620
133b312c6a
14242c2ab6
151644daa0
hexe741838

242489400 has 192 divisors, whose sum is σ = 803520000. Its totient is φ = 60318720.

The previous prime is 242489383. The next prime is 242489413. The reversal of 242489400 is 4984242.

It is a super-2 number, since 2×2424894002 = 117602218224720000, 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 47 ways as a sum of consecutive naturals, for example, 1014481 + ... + 1014719.

It is an arithmetic number, because the mean of its divisors is an integer number (4185000).

Almost surely, 2242489400 is an apocalyptic number.

242489400 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 242489400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760000).

242489400 is an abundant number, since it is smaller than the sum of its proper divisors (561030600).

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

242489400 is a wasteful number, since it uses less digits than its factorization.

242489400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 242489400 is about 15572.0711531896. The cubic root of 242489400 is about 623.5877660224.

The spelling of 242489400 in words is "two hundred forty-two million, four hundred eighty-nine thousand, four hundred".