Base | Representation |
---|---|
bin | 1101011001010001011… |
… | …0100110110111101000 |
3 | 210222222121120001121102 |
4 | 3112110112212313220 |
5 | 12232242242033112 |
6 | 253414445500532 |
7 | 22424433414254 |
oct | 3262426466750 |
9 | 728877501542 |
10 | 230122221032 |
11 | 89659aa3750 |
12 | 38723571748 |
13 | 18914b080c2 |
14 | b1d0863264 |
15 | 5ebcb91bc2 |
hex | 35945a6de8 |
230122221032 has 64 divisors (see below), whose sum is σ = 475649288640. Its totient is φ = 103503424000.
The previous prime is 230122221031. The next prime is 230122221073.
It is a happy number.
230122221032 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2301222210322 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 230122220995 and 230122221013.
It is not an unprimeable number, because it can be changed into a prime (230122221031) 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, 16942628 + ... + 16956204.
It is an arithmetic number, because the mean of its divisors is an integer number (7432020135).
Almost surely, 2230122221032 is an apocalyptic number.
230122221032 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 230122221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237824644320).
230122221032 is an abundant number, since it is smaller than the sum of its proper divisors (245527067608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230122221032 is a wasteful number, since it uses less digits than its factorization.
230122221032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15602 (or 15598 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
It can be divided in two parts, 230122 and 221032, that added together give a palindrome (451154).
The spelling of 230122221032 in words is "two hundred thirty billion, one hundred twenty-two million, two hundred twenty-one thousand, thirty-two".
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