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133222032 = 2432925153
BaseRepresentation
bin1111111000011…
…00111010010000
3100021200101021100
413330030322100
5233101101112
621115224400
73205240266
oct774147220
9307611240
10133222032
1169222759
1238748100
13217a6208
141399c436
15ba682dc
hex7f0ce90

133222032 has 30 divisors (see below), whose sum is σ = 372837062. Its totient is φ = 44407296.

The previous prime is 133222009. The next prime is 133222039. The reversal of 133222032 is 230222331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 113294736 + 19927296 = 10644^2 + 4464^2 .

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 = 133221996 and 133222014.

It is not an unprimeable number, because it can be changed into a prime (133222039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 462433 + ... + 462720.

Almost surely, 2133222032 is an apocalyptic number.

133222032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133222032 is an abundant number, since it is smaller than the sum of its proper divisors (239615030).

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

133222032 is a wasteful number, since it uses less digits than its factorization.

133222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925167 (or 925158 counting only the distinct ones).

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

The square root of 133222032 is about 11542.1848884862. The cubic root of 133222032 is about 510.7307632538.

Adding to 133222032 its reverse (230222331), we get a palindrome (363444363).

The spelling of 133222032 in words is "one hundred thirty-three million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 925153 1850306 2775459 3700612 5550918 7401224 8326377 11101836 14802448 16652754 22203672 33305508 44407344 66611016 133222032