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242332332 = 223113159221
BaseRepresentation
bin11100111000110…
…11001010101100
3121212222202110120
432130123022230
5444014113312
640014004540
76001535154
oct1634331254
9555882416
10242332332
11114876960
12691a6750
133b289618
1424281764
151641c28c
hexe71b2ac

242332332 has 48 divisors (see below), whose sum is σ = 636754944. Its totient is φ = 71064000.

The previous prime is 242332291. The next prime is 242332339. The reversal of 242332332 is 233233242.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242332339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25519 + ... + 33702.

It is an arithmetic number, because the mean of its divisors is an integer number (13265728).

Almost surely, 2242332332 is an apocalyptic number.

242332332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242332332 is an abundant number, since it is smaller than the sum of its proper divisors (394422612).

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

242332332 is a wasteful number, since it uses less digits than its factorization.

242332332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59270 (or 59268 counting only the distinct ones).

The product of its digits is 5184, while the sum is 24.

The square root of 242332332 is about 15567.0270764844. The cubic root of 242332332 is about 623.4530978152.

Adding to 242332332 its reverse (233233242), we get a palindrome (475565574).

It can be divided in two parts, 24233 and 2332, that added together give a triangular number (26565 = T230).

The spelling of 242332332 in words is "two hundred forty-two million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 59221 118442 177663 236884 355326 651431 710652 1302862 1835851 1954293 2605724 3671702 3908586 5507553 7343404 7817172 11015106 20194361 22030212 40388722 60583083 80777444 121166166 242332332