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242033616 = 24331131253
BaseRepresentation
bin11100110110100…
…10001111010000
3121212102120201000
432123102033100
5443430033431
640003342000
75666152236
oct1633221720
9555376630
10242033616
11114692490
1269081900
133b1b3676
1424204956
15163ad9e6
hexe6d23d0

242033616 has 240 divisors, whose sum is σ = 797895360. Its totient is φ = 69638400.

The previous prime is 242033599. The next prime is 242033639. The reversal of 242033616 is 616330242.

242033616 is a `hidden beast` number, since 2 + 42 + 0 + 3 + 3 + 616 = 666.

242033616 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 242033616.

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, 4566646 + ... + 4566698.

It is an arithmetic number, because the mean of its divisors is an integer number (3324564).

Almost surely, 2242033616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242033616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398947680).

242033616 is an abundant number, since it is smaller than the sum of its proper divisors (555861744).

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

242033616 is a wasteful number, since it uses less digits than its factorization.

242033616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 242033616 is about 15557.4296077469. The cubic root of 242033616 is about 623.1968216664.

Adding to 242033616 its reverse (616330242), we get a palindrome (858363858).

The spelling of 242033616 in words is "two hundred forty-two million, thirty-three thousand, six hundred sixteen".