Base | Representation |
---|---|
bin | 101011111001… |
… | …1100010100000 |
3 | 1121022102020220 |
4 | 1113303202200 |
5 | 21343031012 |
6 | 2141203040 |
7 | 366434541 |
oct | 127634240 |
9 | 47272226 |
10 | 23017632 |
11 | 11aa1540 |
12 | 7860480 |
13 | 49cbb01 |
14 | 30b24c8 |
15 | 204a08c |
hex | 15f38a0 |
23017632 has 96 divisors (see below), whose sum is σ = 67060224. Its totient is φ = 6854400.
The previous prime is 23017567. The next prime is 23017637. The reversal of 23017632 is 23671032.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×230176322 = 1059622765774848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (23017637) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74823 + ... + 75129.
It is an arithmetic number, because the mean of its divisors is an integer number (698544).
Almost surely, 223017632 is an apocalyptic number.
23017632 is a gapful number since it is divisible by the number (22) 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 23017632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112).
23017632 is an abundant number, since it is smaller than the sum of its proper divisors (44042592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23017632 is a wasteful number, since it uses less digits than its factorization.
23017632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 402 (or 394 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 24.
The square root of 23017632 is about 4797.6694342149. The cubic root of 23017632 is about 284.4593505282.
Adding to 23017632 its reverse (23671032), we get a palindrome (46688664).
The spelling of 23017632 in words is "twenty-three million, seventeen thousand, six hundred thirty-two".
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