Base | Representation |
---|---|
bin | 10101101000011111… |
… | …101110110011000000 |
3 | 2012221210112220100000 |
4 | 111220133232303000 |
5 | 340032331010323 |
6 | 14400520200000 |
7 | 1451416421100 |
oct | 255037566300 |
9 | 65853486300 |
10 | 23227985088 |
11 | 993a656aa0 |
12 | 4603009000 |
13 | 2262394299 |
14 | 11a4cb7200 |
15 | 90e345e43 |
hex | 5687eecc0 |
23227985088 has 1008 divisors, whose sum is σ = 93342098304. Its totient is φ = 5643509760.
The previous prime is 23227985083. The next prime is 23227985149. The reversal of 23227985088 is 88058972232.
It is a happy number.
23227985088 is a `hidden beast` number, since 23 + 2 + 27 + 98 + 508 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (23227985083) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142502895 + ... + 142503057.
It is an arithmetic number, because the mean of its divisors is an integer number (92601288).
Almost surely, 223227985088 is an apocalyptic number.
23227985088 is a gapful number since it is divisible by the number (28) 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 23227985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46671049152).
23227985088 is an abundant number, since it is smaller than the sum of its proper divisors (70114113216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23227985088 is a wasteful number, since it uses less digits than its factorization.
23227985088 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 232 (or 203 counting only the distinct ones).
The product of its (nonzero) digits is 3870720, while the sum is 54.
The spelling of 23227985088 in words is "twenty-three billion, two hundred twenty-seven million, nine hundred eighty-five thousand, eighty-eight".
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