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242221304 = 23131728059
BaseRepresentation
bin11100111000000…
…00000011111000
3121212210010011102
432130000003320
5444002040204
640011350532
76000563363
oct1634000370
9555703142
10242221304
111148004a6
1269152448
133b24ac20
14242530da
15163e941e
hexe7000f8

242221304 has 48 divisors (see below), whose sum is σ = 519628200. Its totient is φ = 105205248.

The previous prime is 242221271. The next prime is 242221313. The reversal of 242221304 is 403122242.

It is a super-2 number, since 2×2422213042 = 117342320222920832, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26027 + ... + 34085.

Almost surely, 2242221304 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 242221304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259814100).

242221304 is an abundant number, since it is smaller than the sum of its proper divisors (277406896).

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

242221304 is a wasteful number, since it uses less digits than its factorization.

242221304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242221304 is about 15563.4605406381. The cubic root of 242221304 is about 623.3578686394.

Adding to 242221304 its reverse (403122242), we get a palindrome (645343546).

The spelling of 242221304 in words is "two hundred forty-two million, two hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1156 1768 2312 3757 7514 8059 15028 16118 30056 32236 64472 104767 137003 209534 274006 419068 548012 838136 1096024 1781039 2329051 3562078 4658102 7124156 9316204 14248312 18632408 30277663 60555326 121110652 242221304