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222608364 = 2231110715761
BaseRepresentation
bin11010100010010…
…11101111101100
3120111212200021020
431101023233230
5423441431424
634031134140
75342065656
oct1521135754
9514780236
10222608364
11104724a60
1262674350
1337171a34
14217c96d6
1514823079
hexd44bbec

222608364 has 48 divisors (see below), whose sum is σ = 571971456. Its totient is φ = 66822400.

The previous prime is 222608341. The next prime is 222608369. The reversal of 222608364 is 463806222.

222608364 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

222608364 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (222608369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6244 + ... + 22004.

It is an arithmetic number, because the mean of its divisors is an integer number (11916072).

Almost surely, 2222608364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222608364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285985728).

222608364 is an abundant number, since it is smaller than the sum of its proper divisors (349363092).

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

222608364 is a wasteful number, since it uses less digits than its factorization.

222608364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15886 (or 15884 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 222608364 is about 14920.0658175492. The cubic root of 222608364 is about 606.0574943544.

The spelling of 222608364 in words is "two hundred twenty-two million, six hundred eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 14124 15761 31522 47283 63044 94566 173371 189132 346742 520113 693484 1040226 1686427 2080452 3372854 5059281 6745708 10118562 18550697 20237124 37101394 55652091 74202788 111304182 222608364