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222429826242 = 2321321725032
BaseRepresentation
bin1100111100100111011…
…0011100110011000010
3210021010111221220201200
43033021312130303002
512121014013414432
6250103255042030
722033006220301
oct3171166346302
9707114856650
10222429826242
1186371924688
1237137370316
1317c8a226600
14aaa0d8c438
155bbc6a8a7c
hex33c9d9ccc2

222429826242 has 162 divisors, whose sum is σ = 555461940267. Its totient is φ = 64286007552.

The previous prime is 222429826237. The next prime is 222429826313. The reversal of 222429826242 is 242628924222.

222429826242 is a `hidden beast` number, since 22 + 242 + 98 + 262 + 42 = 666.

222429826242 is digitally balanced in base 3, 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 5 ways, for example, as 90174684681 + 132255141561 = 300291^2 + 363669^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333489.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 442206163 + ... + 442206665.

Almost surely, 2222429826242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222429826242

222429826242 is an abundant number, since it is smaller than the sum of its proper divisors (333032114025).

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

222429826242 is a wasteful number, since it uses less digits than its factorization.

222429826242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 538 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 222429826242 in words is "two hundred twenty-two billion, four hundred twenty-nine million, eight hundred twenty-six thousand, two hundred forty-two".