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242233224 = 23321374723
BaseRepresentation
bin11100111000000…
…10111110001000
3121212210201111220
432130002332020
5444002430344
640011522040
76000643212
oct1634027610
9555721456
10242233224
11114809452
1269159320
133b25348c
14242575b2
15163ecc19
hexe702f88

242233224 has 32 divisors (see below), whose sum is σ = 605994720. Its totient is φ = 80689536.

The previous prime is 242233213. The next prime is 242233247. The reversal of 242233224 is 422332242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242233194 and 242233203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48927 + ... + 53649.

It is an arithmetic number, because the mean of its divisors is an integer number (18937335).

Almost surely, 2242233224 is an apocalyptic number.

242233224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242233224 is an abundant number, since it is smaller than the sum of its proper divisors (363761496).

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

242233224 is a wasteful number, since it uses less digits than its factorization.

242233224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869 (or 6865 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 242233224 is about 15563.8434841783. The cubic root of 242233224 is about 623.3680938670.

Adding to 242233224 its reverse (422332242), we get a palindrome (664565466).

It can be divided in two parts, 2 and 42233224, that multiplied together give a palindrome (84466448).

The spelling of 242233224 in words is "two hundred forty-two million, two hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 2137 4274 4723 6411 8548 9446 12822 14169 17096 18892 25644 28338 37784 51288 56676 113352 10093051 20186102 30279153 40372204 60558306 80744408 121116612 242233224