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242550000 = 2432557211
BaseRepresentation
bin11100111010100…
…00010011110000
3121220101211001100
432131100103300
5444043100000
640022404400
76003432600
oct1635202360
9556354040
10242550000
11114a05450
1269290700
133b334714
14242dac00
1516461a00
hexe7504f0

242550000 has 540 divisors, whose sum is σ = 1076696712. Its totient is φ = 50400000.

The previous prime is 242549981. The next prime is 242550013. The reversal of 242550000 is 55242.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 107 ways as a sum of consecutive naturals, for example, 22049995 + ... + 22050005.

Almost surely, 2242550000 is an apocalyptic number.

242550000 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 242550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538348356).

242550000 is an abundant number, since it is smaller than the sum of its proper divisors (834146712).

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

242550000 is a wasteful number, since it uses less digits than its factorization.

242550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 242550000 is about 15574.0168229009. The cubic root of 242550000 is about 623.6397081845.

It can be divided in two parts, 2425 and 50000, that added together give a palindrome (52425).

The spelling of 242550000 in words is "two hundred forty-two million, five hundred fifty thousand".