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242051610 = 235171573023
BaseRepresentation
bin11100110110101…
…10101000011010
3121212110111101110
432123112220122
5443431122420
640004001150
75666255553
oct1633265032
9555414343
10242051610
111146a4a59
12690901b6
133b1bb908
142420b32a
15163b3ee0
hexe6d6a1a

242051610 has 64 divisors (see below), whose sum is σ = 619218432. Its totient is φ = 60343296.

The previous prime is 242051587. The next prime is 242051617. The reversal of 242051610 is 16150242.

It is not an unprimeable number, because it can be changed into a prime (242051617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78559 + ... + 81581.

It is an arithmetic number, because the mean of its divisors is an integer number (9675288).

Almost surely, 2242051610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242051610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309609216).

242051610 is an abundant number, since it is smaller than the sum of its proper divisors (377166822).

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

242051610 is a wasteful number, since it uses less digits than its factorization.

242051610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 242051610 is about 15558.0079058985. The cubic root of 242051610 is about 623.2122651488.

The spelling of 242051610 in words is "two hundred forty-two million, fifty-one thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 157 170 255 314 471 510 785 942 1570 2355 2669 3023 4710 5338 6046 8007 9069 13345 15115 16014 18138 26690 30230 40035 45345 51391 80070 90690 102782 154173 256955 308346 474611 513910 770865 949222 1423833 1541730 2373055 2847666 4746110 7119165 8068387 14238330 16136774 24205161 40341935 48410322 80683870 121025805 242051610