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242222320 = 24510728297
BaseRepresentation
bin11100111000000…
…00010011110000
3121212210011120001
432130000103300
5444002103240
640011355344
76000566344
oct1634002360
9555704501
10242222320
1111480123a
1269152b54
133b24b522
1424253624
15163e989a
hexe7004f0

242222320 has 40 divisors (see below), whose sum is σ = 568450224. Its totient is φ = 95980032.

The previous prime is 242222293. The next prime is 242222329. The reversal of 242222320 is 23222242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242222329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5589 + ... + 22708.

Almost surely, 2242222320 is an apocalyptic number.

242222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242222320 is an abundant number, since it is smaller than the sum of its proper divisors (326227904).

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

242222320 is a wasteful number, since it uses less digits than its factorization.

242222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28417 (or 28411 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 242222320 is about 15563.4931811596. The cubic root of 242222320 is about 623.3587401987.

Adding to 242222320 its reverse (23222242), we get a palindrome (265444562).

It can be divided in two parts, 2422 and 22320, that added together give a palindrome (24742).

The spelling of 242222320 in words is "two hundred forty-two million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 8560 28297 56594 113188 141485 226376 282970 452752 565940 1131880 2263760 3027779 6055558 12111116 15138895 24222232 30277790 48444464 60555580 121111160 242222320