Base | Representation |
---|---|
bin | 11010100010011… |
… | …11110110000000 |
3 | 120111220112022000 |
4 | 31101033312000 |
5 | 423443001102 |
6 | 34031344000 |
7 | 5342165631 |
oct | 1521176600 |
9 | 514815260 |
10 | 222625152 |
11 | 104736632 |
12 | 62682000 |
13 | 37179579 |
14 | 217d1888 |
15 | 1482801c |
hex | d44fd80 |
222625152 has 128 divisors (see below), whose sum is σ = 675199200. Its totient is φ = 72161280.
The previous prime is 222625129. The next prime is 222625157. The reversal of 222625152 is 251526222.
222625152 is a `hidden beast` number, since 2 + 22 + 625 + 15 + 2 = 666.
222625152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222625157) by changing a digit.
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, 127002 + ... + 128742.
Almost surely, 2222625152 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 222625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337599600).
222625152 is an abundant number, since it is smaller than the sum of its proper divisors (452574048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222625152 is a wasteful number, since it uses less digits than its factorization.
222625152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1801 (or 1783 counting only the distinct ones).
The product of its digits is 4800, while the sum is 27.
The square root of 222625152 is about 14920.6284049969. The cubic root of 222625152 is about 606.0727292379.
The spelling of 222625152 in words is "two hundred twenty-two million, six hundred twenty-five thousand, one hundred fifty-two".
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