Base | Representation |
---|---|
bin | 101001111111… |
… | …0100000000000 |
3 | 1112102102110120 |
4 | 1103332200000 |
5 | 21113421302 |
6 | 2103500240 |
7 | 355054422 |
oct | 123764000 |
9 | 45372416 |
10 | 22013952 |
11 | 11476454 |
12 | 7457680 |
13 | 473a00c |
14 | 2cd0812 |
15 | 1dec9bc |
hex | 14fe800 |
22013952 has 48 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 7335936.
The previous prime is 22013941. The next prime is 22013983. The reversal of 22013952 is 25931022.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×220139522 = 969228165316608, which contains 22 as substring.
It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4353 + ... + 7935.
It is an arithmetic number, because the mean of its divisors is an integer number (1223040).
Almost surely, 222013952 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 22013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).
22013952 is an abundant number, since it is smaller than the sum of its proper divisors (36691968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22013952 is an equidigital number, since it uses as much as digits as its factorization.
22013952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3608 (or 3588 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 24.
The square root of 22013952 is about 4691.9028122927. The cubic root of 22013952 is about 280.2631539616.
Adding to 22013952 its reverse (25931022), we get a palindrome (47944974).
The spelling of 22013952 in words is "twenty-two million, thirteen thousand, nine hundred fifty-two".
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