Search a number
-
+
242242228104 = 23316759602269
BaseRepresentation
bin1110000110011011000…
…0110000111110001000
3212011021021111012201020
43201212300300332020
512432103002244404
6303141243352440
723333662651662
oct3414660607610
9764237435636
10242242228104
1193809471418
123ab46522720
1319ac6a99b16
14ba2039d532
15647bc19ed9
hex3866c30f88

242242228104 has 32 divisors (see below), whose sum is σ = 605642712000. Its totient is φ = 80742457152.

The previous prime is 242242228079. The next prime is 242242228117. The reversal of 242242228104 is 401822242242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101082 + ... + 703350.

It is an arithmetic number, because the mean of its divisors is an integer number (18926334750).

Almost surely, 2242242228104 is an apocalyptic number.

242242228104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242242228104 is an abundant number, since it is smaller than the sum of its proper divisors (363400483896).

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

242242228104 is a wasteful number, since it uses less digits than its factorization.

242242228104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619037 (or 619033 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

The spelling of 242242228104 in words is "two hundred forty-two billion, two hundred forty-two million, two hundred twenty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 16759 33518 50277 67036 100554 134072 201108 402216 602269 1204538 1806807 2409076 3613614 4818152 7227228 14454456 10093426171 20186852342 30280278513 40373704684 60560557026 80747409368 121121114052 242242228104