Base | Representation |
---|---|
bin | 11010100100100… |
… | …11011100000000 |
3 | 120112102121002020 |
4 | 31102103130000 |
5 | 424030331031 |
6 | 34041321440 |
7 | 5344431051 |
oct | 1522233400 |
9 | 515377066 |
10 | 222902016 |
11 | 104905647 |
12 | 62796280 |
13 | 372455ac |
14 | 21864728 |
15 | 14880096 |
hex | d493700 |
222902016 has 72 divisors (see below), whose sum is σ = 619086720. Its totient is φ = 71064576.
The previous prime is 222902003. The next prime is 222902021. The reversal of 222902016 is 610209222.
222902016 is digitally balanced in base 3, because in such base 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 (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11355 + ... + 23973.
Almost surely, 2222902016 is an apocalyptic number.
222902016 is the 9443-rd centered pentagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309543360).
222902016 is an abundant number, since it is smaller than the sum of its proper divisors (396184704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222902016 is a wasteful number, since it uses less digits than its factorization.
222902016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12661 (or 12647 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 24.
The square root of 222902016 is about 14929.9034156286. The cubic root of 222902016 is about 606.3238691865.
The spelling of 222902016 in words is "two hundred twenty-two million, nine hundred two thousand, sixteen".
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