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233032122 = 23212946229
BaseRepresentation
bin11011110001111…
…00100110111010
3121020111020222100
431320330212322
5434124011442
635042404230
75526511641
oct1570744672
9536436870
10233032122
1110a5a4534
1266060676
133938143b
1422d40358
15156d184c
hexde3c9ba

233032122 has 12 divisors (see below), whose sum is σ = 504902970. Its totient is φ = 77677368.

The previous prime is 233032099. The next prime is 233032127. The reversal of 233032122 is 221230332.

It is a happy number.

233032122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 118135161 + 114896961 = 10869^2 + 10719^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12946229 = 233032122 / (2 + 3 + 3 + 0 + 3 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 233032095 and 233032104.

It is not an unprimeable number, because it can be changed into a prime (233032127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6473097 + ... + 6473132.

Almost surely, 2233032122 is an apocalyptic number.

233032122 is an abundant number, since it is smaller than the sum of its proper divisors (271870848).

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

233032122 is a wasteful number, since it uses less digits than its factorization.

233032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946237 (or 12946234 counting only the distinct ones).

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

The square root of 233032122 is about 15265.3896773060. The cubic root of 233032122 is about 615.3732257644.

Adding to 233032122 its reverse (221230332), we get a palindrome (454262454).

It can be divided in two parts, 23303 and 2122, that added together give a triangular number (25425 = T225).

The spelling of 233032122 in words is "two hundred thirty-three million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12946229 25892458 38838687 77677374 116516061 233032122