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242201320 = 23517933827
BaseRepresentation
bin11100110111110…
…11001011101000
3121212202002202021
432123323023220
5444000420240
640011114224
76000451204
oct1633731350
9555662667
10242201320
11114797489
1269142974
133b241aba
1424249b04
15163e354a
hexe6fb2e8

242201320 has 32 divisors (see below), whose sum is σ = 548013600. Its totient is φ = 96336448.

The previous prime is 242201299. The next prime is 242201353. The reversal of 242201320 is 23102242.

It is a super-2 number, since 2×2422013202 = 117322958819484800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242201294 and 242201303.

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, 9754 + ... + 24073.

It is an arithmetic number, because the mean of its divisors is an integer number (17125425).

Almost surely, 2242201320 is an apocalyptic number.

242201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242201320 is an abundant number, since it is smaller than the sum of its proper divisors (305812280).

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

242201320 is a wasteful number, since it uses less digits than its factorization.

242201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34017 (or 34013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242201320 is about 15562.8185107968. The cubic root of 242201320 is about 623.3407251897.

Adding to 242201320 its reverse (23102242), we get a palindrome (265303562).

The spelling of 242201320 in words is "two hundred forty-two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 179 358 716 895 1432 1790 3580 7160 33827 67654 135308 169135 270616 338270 676540 1353080 6055033 12110066 24220132 30275165 48440264 60550330 121100660 242201320