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133222452 = 22311319439
BaseRepresentation
bin1111111000011…
…01000000110100
3100021200101211220
413330031000310
5233101104302
621115230340
73205241436
oct774150064
9307611756
10133222452
1169223000
12387483b0
13217a646c
141399c656
15ba684bc
hex7f0d034

133222452 has 96 divisors (see below), whose sum is σ = 360729600. Its totient is φ = 38158560.

The previous prime is 133222451. The next prime is 133222477. The reversal of 133222452 is 254222331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133222451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303249 + ... + 303687.

It is an arithmetic number, because the mean of its divisors is an integer number (3757600).

Almost surely, 2133222452 is an apocalyptic number.

133222452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133222452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180364800).

133222452 is an abundant number, since it is smaller than the sum of its proper divisors (227507148).

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

133222452 is a wasteful number, since it uses less digits than its factorization.

133222452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 133222452 is about 11542.2030826008. The cubic root of 133222452 is about 510.7312999685.

Adding to 133222452 its reverse (254222331), we get a palindrome (387444783).

The spelling of 133222452 in words is "one hundred thirty-three million, two hundred twenty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 439 484 627 726 836 878 1254 1317 1331 1452 1756 2299 2508 2634 2662 3993 4598 4829 5268 5324 6897 7986 8341 9196 9658 13794 14487 15972 16682 19316 25023 25289 27588 28974 33364 50046 50578 53119 57948 75867 91751 100092 101156 106238 151734 159357 183502 212476 275253 303468 318714 367004 550506 584309 637428 1009261 1101012 1168618 1752927 2018522 2337236 3027783 3505854 4037044 6055566 7011708 11101871 12111132 22203742 33305613 44407484 66611226 133222452