Base | Representation |
---|---|
bin | 101010101110… |
… | …1010001001000 |
3 | 1120011010221011 |
4 | 1111131101020 |
5 | 21213331440 |
6 | 2120053304 |
7 | 361262206 |
oct | 125352110 |
9 | 46133834 |
10 | 22402120 |
11 | 11711054 |
12 | 7604234 |
13 | 48448c0 |
14 | 2d92076 |
15 | 1e779ea |
hex | 155d448 |
22402120 has 64 divisors (see below), whose sum is σ = 55177920. Its totient is φ = 8135424.
The previous prime is 22402091. The next prime is 22402169. The reversal of 22402120 is 2120422.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a self number, because there is not a number n which added to its sum of digits gives 22402120.
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 15 ways as a sum of consecutive naturals, for example, 34519 + ... + 35161.
It is an arithmetic number, because the mean of its divisors is an integer number (862155).
Almost surely, 222402120 is an apocalyptic number.
22402120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27588960).
22402120 is an abundant number, since it is smaller than the sum of its proper divisors (32775800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22402120 is a wasteful number, since it uses less digits than its factorization.
22402120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 734 (or 730 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The square root of 22402120 is about 4733.0877870583. The cubic root of 22402120 is about 281.9008420219.
Adding to 22402120 its reverse (2120422), we get a palindrome (24522542).
It can be divided in two parts, 22402 and 120, that added together give a palindrome (22522).
The spelling of 22402120 in words is "twenty-two million, four hundred two thousand, one hundred twenty".
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