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133032222 = 23229318221
BaseRepresentation
bin1111110110111…
…10100100011110
3100021022201220100
413323132210132
5233024012342
621111201530
73203520021
oct773364436
9307281810
10133032222
1169103094
12386762a6
132173a9bb
141394d1b8
15ba2be4c
hex7ede91e

133032222 has 48 divisors (see below), whose sum is σ = 307831680. Its totient is φ = 41428800.

The previous prime is 133032187. The next prime is 133032227. The reversal of 133032222 is 222230331.

It is a happy number.

It is a super-3 number, since 3×1330322223 (a number of 25 digits) contains 333 as substring.

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 = 133032195 and 133032204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12072 + ... + 20292.

It is an arithmetic number, because the mean of its divisors is an integer number (6413160).

Almost surely, 2133032222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133032222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153915840).

133032222 is an abundant number, since it is smaller than the sum of its proper divisors (174799458).

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

133032222 is a wasteful number, since it uses less digits than its factorization.

133032222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8289 (or 8286 counting only the distinct ones).

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

The square root of 133032222 is about 11533.9595109399. The cubic root of 133032222 is about 510.4880909747.

Adding to 133032222 its reverse (222230331), we get a palindrome (355262553).

The spelling of 133032222 in words is "one hundred thirty-three million, thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 2697 5394 8091 8221 16182 16442 24663 49326 73989 147978 238409 254851 476818 509702 715227 764553 1430454 1529106 2145681 2293659 4291362 4587318 7390679 14781358 22172037 44344074 66516111 133032222