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133222432 = 2571973019
BaseRepresentation
bin1111111000011…
…01000000100000
3100021200101211011
413330031000200
5233101104212
621115230304
73205241410
oct774150040
9307611734
10133222432
1169222a92
1238748394
13217a6455
141399c640
15ba684a7
hex7f0d020

133222432 has 48 divisors (see below), whose sum is σ = 301371840. Its totient is φ = 56786688.

The previous prime is 133222429. The next prime is 133222447. The reversal of 133222432 is 234222331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42619 + ... + 45637.

It is an arithmetic number, because the mean of its divisors is an integer number (6278580).

Almost surely, 2133222432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150685920).

133222432 is an abundant number, since it is smaller than the sum of its proper divisors (168149408).

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

133222432 is a wasteful number, since it uses less digits than its factorization.

133222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3225 counting only the distinct ones).

The product of its digits is 1728, while the sum is 22.

The square root of 133222432 is about 11542.2022162151. The cubic root of 133222432 is about 510.7312744107.

Adding to 133222432 its reverse (234222331), we get a palindrome (367444763).

The spelling of 133222432 in words is "one hundred thirty-three million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 197 224 394 788 1379 1576 2758 3019 3152 5516 6038 6304 11032 12076 21133 22064 24152 42266 44128 48304 84532 96608 169064 338128 594743 676256 1189486 2378972 4163201 4757944 8326402 9515888 16652804 19031776 33305608 66611216 133222432