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133833222 = 235383719
BaseRepresentation
bin1111111101000…
…10001000000110
3100022211102200000
413332202020012
5233230130342
621140302130
73213364215
oct776421006
9308742600
10133833222
11695aa976
12389a1946
132195b473
1413abb07c
15bb3944c
hex7fa2206

133833222 has 48 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 44432712.

The previous prime is 133833211. The next prime is 133833223. The reversal of 133833222 is 222338331.

133833222 is a `hidden beast` number, since 1 + 338 + 3 + 322 + 2 = 666.

It is a super-2 number, since 2×1338332222 = 35822662621802568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133833223) 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 23 ways as a sum of consecutive naturals, for example, 185779 + ... + 186497.

It is an arithmetic number, because the mean of its divisors is an integer number (6289920).

Almost surely, 2133833222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133833222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

133833222 is an abundant number, since it is smaller than the sum of its proper divisors (168082938).

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

133833222 is an equidigital number, since it uses as much as digits as its factorization.

133833222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1107 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 133833222 is about 11568.6309475236. The cubic root of 133833222 is about 511.5106077039.

The spelling of 133833222 in words is "one hundred thirty-three million, eight hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 383 486 719 766 1149 1438 2157 2298 3447 4314 6471 6894 10341 12942 19413 20682 31023 38826 58239 62046 93069 116478 174717 186138 275377 349434 550754 826131 1652262 2478393 4956786 7435179 14870358 22305537 44611074 66916611 133833222