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242400222 = 23331891627
BaseRepresentation
bin11100111001010…
…11101111011110
3121220010012121000
432130223233132
5444023301342
640015251130
76002240121
oct1634535736
9556105530
10242400222
11114912969
1269219aa6
133b2b14ac
142429c3b8
151643244c
hexe72bbde

242400222 has 64 divisors (see below), whose sum is σ = 562636800. Its totient is φ = 77267520.

The previous prime is 242400199. The next prime is 242400239. The reversal of 242400222 is 222004242.

242400222 is a `hidden beast` number, since 2 + 42 + 400 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242400195 and 242400204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148173 + ... + 149799.

It is an arithmetic number, because the mean of its divisors is an integer number (8791200).

Almost surely, 2242400222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242400222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281318400).

242400222 is an abundant number, since it is smaller than the sum of its proper divisors (320236578).

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

242400222 is a wasteful number, since it uses less digits than its factorization.

242400222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 242400222 is about 15569.2074942818. The cubic root of 242400222 is about 623.5113130197.

Adding to 242400222 its reverse (222004242), we get a palindrome (464404464).

The spelling of 242400222 in words is "two hundred forty-two million, four hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 89 93 178 186 267 279 534 558 801 837 1602 1627 1674 2403 2759 3254 4806 4881 5518 8277 9762 14643 16554 24831 29286 43929 49662 50437 74493 87858 100874 144803 148986 151311 289606 302622 434409 453933 868818 907866 1303227 1361799 2606454 2723598 3909681 4488893 7819362 8977786 13466679 26933358 40400037 80800074 121200111 242400222