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222400242 = 2349714153
BaseRepresentation
bin11010100000110…
…00111011110010
3120111111002210000
431100120323302
5423413301432
634022450430
75340241131
oct1520307362
9514432700
10222400242
111045a2659
1262593a16
13370cb09c
1421773918
15147d157c
hexd418ef2

222400242 has 40 divisors (see below), whose sum is σ = 503514396. Its totient is φ = 73363968.

The previous prime is 222400223. The next prime is 222400279. The reversal of 222400242 is 242004222.

222400242 is a `hidden beast` number, since 2 + 22 + 400 + 242 = 666.

222400242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 220789881 + 1610361 = 14859^2 + 1269^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8638 + ... + 22790.

Almost surely, 2222400242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222400242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251757198).

222400242 is an abundant number, since it is smaller than the sum of its proper divisors (281114154).

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

222400242 is a wasteful number, since it uses less digits than its factorization.

222400242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14264 (or 14255 counting only the distinct ones).

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

The square root of 222400242 is about 14913.0896195255. The cubic root of 222400242 is about 605.8685628088.

Adding to 222400242 its reverse (242004222), we get a palindrome (464404464).

The spelling of 222400242 in words is "two hundred twenty-two million, four hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7857 14153 15714 28306 42459 84918 127377 254754 382131 764262 1146393 1372841 2292786 2745682 4118523 8237046 12355569 24711138 37066707 74133414 111200121 222400242