Base | Representation |
---|---|
bin | 101010011111… |
… | …0000001001000 |
3 | 1112220122100102 |
4 | 1110332001020 |
5 | 21200232440 |
6 | 2113224532 |
7 | 360220061 |
oct | 124760110 |
9 | 45818312 |
10 | 22274120 |
11 | 11633970 |
12 | 7562148 |
13 | 47cb56b |
14 | 2d5b568 |
15 | 1e4eb15 |
hex | 153e048 |
22274120 has 128 divisors (see below), whose sum is σ = 59719680. Its totient is φ = 7392000.
The previous prime is 22274107. The next prime is 22274123. The reversal of 22274120 is 2147222.
It is a happy number.
It is a super-2 number, since 2×222741202 = 992272843548800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 22274092 and 22274101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22274123) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313685 + ... + 313755.
It is an arithmetic number, because the mean of its divisors is an integer number (466560).
Almost surely, 222274120 is an apocalyptic number.
22274120 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 22274120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29859840).
22274120 is an abundant number, since it is smaller than the sum of its proper divisors (37445560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22274120 is a wasteful number, since it uses less digits than its factorization.
22274120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 147 (or 143 counting only the distinct ones).
The product of its (nonzero) digits is 448, while the sum is 20.
The square root of 22274120 is about 4719.5465883917. The cubic root of 22274120 is about 281.3629130168.
The spelling of 22274120 in words is "twenty-two million, two hundred seventy-four thousand, one hundred twenty".
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