Search a number
-
+
222545016 = 23331013
BaseRepresentation
bin11010100001111…
…00010001111000
3120111202110101000
431100330101320
5423432420031
634025525000
75341413201
oct1520742170
9514673330
10222545016
11104691401
1262643760
133714bc55
14217b05a8
151480e3e6
hexd43c478

222545016 has 64 divisors (see below), whose sum is σ = 624362400. Its totient is φ = 73447200.

The previous prime is 222545003. The next prime is 222545051. The reversal of 222545016 is 610545222.

The cubic root of 222545016 is 606.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2203366 + ... + 2203466.

Almost surely, 2222545016 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 222545016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312181200).

222545016 is an abundant number, since it is smaller than the sum of its proper divisors (401817384).

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

222545016 is an frugal number, since it uses more digits than its factorization.

222545016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 222545016 is about 14917.9427536105.

Multiplying 222545016 by its sum of digits (27), we get a cube (6008715432 = 18183).

222545016 divided by its sum of digits (27) gives a cube (8242408 = 2023).

The spelling of 222545016 in words is "two hundred twenty-two million, five hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 7272 10201 10908 20402 21816 30603 40804 61206 81608 91809 122412 183618 244824 275427 367236 550854 734472 1030301 1101708 2060602 2203416 3090903 4121204 6181806 8242408 9272709 12363612 18545418 24727224 27818127 37090836 55636254 74181672 111272508 222545016