Base | Representation |
---|---|
bin | 11000000101010… |
… | …10000010100000 |
3 | 112002010211120000 |
4 | 30002222002200 |
5 | 403204214242 |
6 | 32014020000 |
7 | 5002111356 |
oct | 1402520240 |
9 | 462124500 |
10 | 202023072 |
11 | a4044a19 |
12 | 577a7600 |
13 | 32b150a4 |
14 | 1cb8b7d6 |
15 | 12b08a4c |
hex | c0aa0a0 |
202023072 has 120 divisors (see below), whose sum is σ = 608955732. Its totient is φ = 65664000.
The previous prime is 202023043. The next prime is 202023109. The reversal of 202023072 is 270320202.
It can be written as a sum of positive squares in 2 ways, for example, as 150700176 + 51322896 = 12276^2 + 7164^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105322 + ... + 107222.
Almost surely, 2202023072 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 202023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304477866).
202023072 is an abundant number, since it is smaller than the sum of its proper divisors (406932660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202023072 is a wasteful number, since it uses less digits than its factorization.
202023072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1964 (or 1947 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 18.
The square root of 202023072 is about 14213.4820505040. The cubic root of 202023072 is about 586.7687689602.
Adding to 202023072 its reverse (270320202), we get a palindrome (472343274).
The spelling of 202023072 in words is "two hundred two million, twenty-three thousand, seventy-two".
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