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2230133022 = 2321333128793
BaseRepresentation
bin1000010011101101…
…0010000100011110
312202102101111101100
42010323102010132
514031403224042
61005143253530
7106156550355
oct20473220436
95672344340
102230133022
11a44940a47
12522a4a2a6
13297052050
1417228299c
15d0bc024c
hex84ed211e

2230133022 has 48 divisors (see below), whose sum is σ = 5219545968. Its totient is φ = 684097920.

The previous prime is 2230133011. The next prime is 2230133023. The reversal of 2230133022 is 2203310322.

It is a happy number.

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 = 2230132986 and 2230133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230133023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63058 + ... + 91850.

It is an arithmetic number, because the mean of its divisors is an integer number (108740541).

Almost surely, 22230133022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230133022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609772984).

2230133022 is an abundant number, since it is smaller than the sum of its proper divisors (2989412946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2230133022 is a wasteful number, since it uses less digits than its factorization.

2230133022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29145 (or 29142 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2230133022 is about 47224.2842402084. The cubic root of 2230133022 is about 1306.5025332530.

Adding to 2230133022 its reverse (2203310322), we get a palindrome (4433443344).

The spelling of 2230133022 in words is "two billion, two hundred thirty million, one hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 331 662 993 1986 2979 4303 5958 8606 12909 25818 28793 38727 57586 77454 86379 172758 259137 374309 518274 748618 1122927 2245854 3368781 6737562 9530483 19060966 28591449 57182898 85774347 123896279 171548694 247792558 371688837 743377674 1115066511 2230133022