Base | Representation |
---|---|
bin | 101010100100… |
… | …1101100111100 |
3 | 1120000002000000 |
4 | 1111021230330 |
5 | 21203300410 |
6 | 2114234300 |
7 | 360506442 |
oct | 125115474 |
9 | 46002000 |
10 | 22321980 |
11 | 1166691a |
12 | 7585990 |
13 | 4817295 |
14 | 2d70b92 |
15 | 1e5ddc0 |
hex | 1549b3c |
22321980 has 84 divisors (see below), whose sum is σ = 70327992. Its totient is φ = 5948640.
The previous prime is 22321961. The next prime is 22321991. The reversal of 22321980 is 8912322.
It is a happy number.
It is a super-3 number, since 3×223219803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
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 27 ways as a sum of consecutive naturals, for example, 13815 + ... + 15345.
It is an arithmetic number, because the mean of its divisors is an integer number (837238).
Almost surely, 222321980 is an apocalyptic number.
22321980 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 22321980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163996).
22321980 is an abundant number, since it is smaller than the sum of its proper divisors (48006012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22321980 is a wasteful number, since it uses less digits than its factorization.
22321980 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1558 (or 1541 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 22321980 is about 4724.6142699696. The cubic root of 22321980 is about 281.5642886608.
The spelling of 22321980 in words is "twenty-two million, three hundred twenty-one thousand, nine hundred eighty".
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