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233130222 = 232133732671
BaseRepresentation
bin11011110010101…
…00100011101110
3121020200020112200
431321110203232
5434140131342
635044442330
75530400643
oct1571244356
9536606480
10233130222
1110a661206
12660a93a6
13393b6ca0
1422d67dca
151570094c
hexde548ee

233130222 has 48 divisors (see below), whose sum is σ = 545633088. Its totient is φ = 71513280.

The previous prime is 233130203. The next prime is 233130253. The reversal of 233130222 is 222031332.

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 = 233130195 and 233130204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85947 + ... + 88617.

It is an arithmetic number, because the mean of its divisors is an integer number (11367356).

Almost surely, 2233130222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233130222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272816544).

233130222 is an abundant number, since it is smaller than the sum of its proper divisors (312502866).

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

233130222 is a wasteful number, since it uses less digits than its factorization.

233130222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3062 counting only the distinct ones).

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

The square root of 233130222 is about 15268.6024900775. The cubic root of 233130222 is about 615.4595652839.

Adding to 233130222 its reverse (222031332), we get a palindrome (455161554).

The spelling of 233130222 in words is "two hundred thirty-three million, one hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 373 746 1119 2238 2671 3357 4849 5342 6714 8013 9698 14547 16026 24039 29094 34723 43641 48078 69446 87282 104169 208338 312507 625014 996283 1992566 2988849 5977698 8966547 12951679 17933094 25903358 38855037 77710074 116565111 233130222