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242247024 = 2434414797
BaseRepresentation
bin11100111000001…
…10010101110000
3121212211102110000
432130012111300
5444003401044
640012110000
76001031355
oct1634062560
9555742400
10242247024
11114818858
1269165300
133b259846
142425c62c
1516401d69
hexe706570

242247024 has 200 divisors, whose sum is σ = 741077568. Its totient is φ = 76308480.

The previous prime is 242247011. The next prime is 242247041. The reversal of 242247024 is 420742242.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 2497344 + ... + 2497440.

Almost surely, 2242247024 is an apocalyptic number.

242247024 is a gapful number since it is divisible by the number (24) 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 242247024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370538784).

242247024 is an abundant number, since it is smaller than the sum of its proper divisors (498830544).

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

242247024 is a wasteful number, since it uses less digits than its factorization.

242247024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 242247024 is about 15564.2868130859. The cubic root of 242247024 is about 623.3799313794.

Adding to 242247024 its reverse (420742242), we get a palindrome (662989266).

The spelling of 242247024 in words is "two hundred forty-two million, two hundred forty-seven thousand, twenty-four".