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22133322 = 23229109389
BaseRepresentation
bin101010001101…
…1101001001010
31112122111012200
41110123221022
521131231242
62110221030
7356062431
oct124335112
945574180
1022133322
1111548102
1274b4776
13477c453
142d22118
151e2304c
hex151ba4a

22133322 has 48 divisors (see below), whose sum is σ = 50193000. Its totient is φ = 7039872.

The previous prime is 22133299. The next prime is 22133323. The reversal of 22133322 is 22333122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18481401 + 3651921 = 4299^2 + 1911^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22133295 and 22133304.

It is not an unprimeable number, because it can be changed into a prime (22133323) 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, 56704 + ... + 57092.

Almost surely, 222133322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096500).

22133322 is an abundant number, since it is smaller than the sum of its proper divisors (28059678).

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

22133322 is a wasteful number, since it uses less digits than its factorization.

22133322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 532 counting only the distinct ones).

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

The square root of 22133322 is about 4704.6064660075. The cubic root of 22133322 is about 280.7688139569.

Adding to 22133322 its reverse (22333122), we get a palindrome (44466444).

The spelling of 22133322 in words is "twenty-two million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 109 174 218 261 327 389 522 654 778 981 1167 1962 2334 3161 3501 6322 7002 9483 11281 18966 22562 28449 33843 42401 56898 67686 84802 101529 127203 203058 254406 381609 763218 1229629 2459258 3688887 7377774 11066661 22133322