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242204328 = 233213125679
BaseRepresentation
bin11100110111110…
…11111010101000
3121212202020212200
432123323322220
5444001014303
640011140200
76000463032
oct1633737250
9555666780
10242204328
11114799773
1269144660
133b243292
142424ac52
15163e43a3
hexe6fbea8

242204328 has 48 divisors (see below), whose sum is σ = 661003200. Its totient is φ = 80115360.

The previous prime is 242204323. The next prime is 242204377. The reversal of 242204328 is 823402242.

242204328 is a `hidden beast` number, since 2 + 4 + 220 + 432 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (242204323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3408 + ... + 22271.

It is an arithmetic number, because the mean of its divisors is an integer number (13770900).

Almost surely, 2242204328 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 242204328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330501600).

242204328 is an abundant number, since it is smaller than the sum of its proper divisors (418798872).

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

242204328 is a wasteful number, since it uses less digits than its factorization.

242204328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25822 (or 25815 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242204328 is about 15562.9151510891. The cubic root of 242204328 is about 623.3433056891.

The spelling of 242204328 in words is "two hundred forty-two million, two hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 25679 51358 77037 102716 154074 205432 231111 308148 462222 616296 924444 1848888 3363949 6727898 10091847 13455796 20183694 26911592 30275541 40367388 60551082 80734776 121102164 242204328