Base | Representation |
---|---|
bin | 110100110000010111100000… |
… | …110100010010010010110110 |
3 | 1010102112002212001120121010100 |
4 | 310300113200310102102312 |
5 | 220402422431211200042 |
6 | 2141245305514534530 |
7 | 66605023262162553 |
oct | 6460274064222266 |
9 | 1112462761517110 |
10 | 232022200100022 |
11 | 67a25076171992 |
12 | 22033559437446 |
13 | 9c607a43a5147 |
14 | 4141d1200ba2a |
15 | 1bc566aced24c |
hex | d305e0d124b6 |
232022200100022 has 96 divisors (see below), whose sum is σ = 533728595312640. Its totient is φ = 72594068601600.
The previous prime is 232022200099967. The next prime is 232022200100023. The reversal of 232022200100022 is 220001002220232.
232022200100022 is a `hidden beast` number, since 2 + 320 + 2 + 220 + 0 + 100 + 0 + 22 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 232022200099968 and 232022200100004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232022200100023) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258497147 + ... + 1258681497.
It is an arithmetic number, because the mean of its divisors is an integer number (5559672867840).
Almost surely, 2232022200100022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232022200100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266864297656320).
232022200100022 is an abundant number, since it is smaller than the sum of its proper divisors (301706395212618).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232022200100022 is a wasteful number, since it uses less digits than its factorization.
232022200100022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 195498 (or 195495 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 232022200100022 its reverse (220001002220232), we get a palindrome (452023202320254).
The spelling of 232022200100022 in words is "two hundred thirty-two trillion, twenty-two billion, two hundred million, one hundred thousand, twenty-two".
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