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242115700 = 225217142421
BaseRepresentation
bin11100110111001…
…10010001110100
3121212120202022011
432123212101310
5443440200300
640005214004
75666643451
oct1633462164
9555522264
10242115700
11114739122
1269101304
133b211b38
1424226828
15163c7eba
hexe6e6474

242115700 has 36 divisors (see below), whose sum is σ = 556300332. Its totient is φ = 91148800.

The previous prime is 242115691. The next prime is 242115737. The reversal of 242115700 is 7511242.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2547216 + 239568484 = 1596^2 + 15478^2 .

It is a super-4 number, since 4×2421157004 (a number of 35 digits) contains 4444 as substring.

It is a congruent 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, 69511 + ... + 72910.

It is an arithmetic number, because the mean of its divisors is an integer number (15452787).

Almost surely, 2242115700 is an apocalyptic number.

242115700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242115700 is an abundant number, since it is smaller than the sum of its proper divisors (314184632).

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

242115700 is a wasteful number, since it uses less digits than its factorization.

242115700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142452 (or 142445 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 242115700 is about 15560.0674805735. The cubic root of 242115700 is about 623.2672646444.

Adding to 242115700 its reverse (7511242), we get a palindrome (249626942).

The spelling of 242115700 in words is "two hundred forty-two million, one hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 142421 284842 569684 712105 1424210 2421157 2848420 3560525 4842314 7121050 9684628 12105785 14242100 24211570 48423140 60528925 121057850 242115700