Base | Representation |
---|---|
bin | 11011101101011… |
… | …10110000110000 |
3 | 121012101201222202 |
4 | 31312232300300 |
5 | 434001413440 |
6 | 35022122332 |
7 | 5521542026 |
oct | 1566566060 |
9 | 535351882 |
10 | 232451120 |
11 | 10a237a70 |
12 | 65a203a8 |
13 | 39209b55 |
14 | 22c2c716 |
15 | 15619615 |
hex | ddaec30 |
232451120 has 80 divisors (see below), whose sum is σ = 603389952. Its totient is φ = 82548480.
The previous prime is 232451119. The next prime is 232451123. The reversal of 232451120 is 21154232.
It is a tau number, because it is divible by the number of its divisors (80).
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 = 232451092 and 232451101.
It is not an unprimeable number, because it can be changed into a prime (232451123) 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, 34769 + ... + 40911.
Almost surely, 2232451120 is an apocalyptic number.
232451120 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 232451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301694976).
232451120 is an abundant number, since it is smaller than the sum of its proper divisors (370938832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232451120 is a wasteful number, since it uses less digits than its factorization.
232451120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6210 (or 6204 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
The square root of 232451120 is about 15246.3477593816. The cubic root of 232451120 is about 614.8613784117.
The spelling of 232451120 in words is "two hundred thirty-two million, four hundred fifty-one thousand, one hundred twenty".
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