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242220328 = 23724713147
BaseRepresentation
bin11100110111111…
…11110100101000
3121212210001211021
432123333310220
5444002022303
640011342224
76000560500
oct1633776450
9555701737
10242220328
111147aa799
1269151974
133b24a64c
1424252a00
15163e8ebd
hexe6ffd28

242220328 has 48 divisors (see below), whose sum is σ = 539593920. Its totient is φ = 101592288.

The previous prime is 242220317. The next prime is 242220361. The reversal of 242220328 is 823022242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11851 + ... + 24997.

It is an arithmetic number, because the mean of its divisors is an integer number (11241540).

Almost surely, 2242220328 is an apocalyptic number.

242220328 is a gapful number since it is divisible by the number (28) 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 242220328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269796960).

242220328 is an abundant number, since it is smaller than the sum of its proper divisors (297373592).

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

242220328 is a wasteful number, since it uses less digits than its factorization.

242220328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13214 (or 13203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 242220328 is about 15563.4291851121. The cubic root of 242220328 is about 623.3570313911.

The spelling of 242220328 in words is "two hundred forty-two million, two hundred twenty thousand, three hundred twenty-eight".