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133212222 = 233111321327
BaseRepresentation
bin1111111000010…
…10100000111110
3100021122212211000
413330022200332
5233100242342
621115111130
73205166553
oct774124076
9307585730
10133212222
1169216350
12387424a6
13217a1900
1413998a2a
15ba6544c
hex7f0a83e

133212222 has 96 divisors (see below), whose sum is σ = 349954560. Its totient is φ = 37234080.

The previous prime is 133212203. The next prime is 133212229. The reversal of 133212222 is 222212331.

133212222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 133212195 and 133212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133212229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99723 + ... + 101049.

It is an arithmetic number, because the mean of its divisors is an integer number (3645360).

Almost surely, 2133212222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174977280).

133212222 is an abundant number, since it is smaller than the sum of its proper divisors (216742338).

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

133212222 is a wasteful number, since it uses less digits than its factorization.

133212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1356 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 133212222 is about 11541.7599177942. The cubic root of 133212222 is about 510.7182268094.

Adding to 133212222 its reverse (222212331), we get a palindrome (355424553).

The spelling of 133212222 in words is "one hundred thirty-three million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 169 198 234 286 297 338 351 429 507 594 702 858 1014 1287 1327 1521 1859 2574 2654 3042 3718 3861 3981 4563 5577 7722 7962 9126 11154 11943 14597 16731 17251 23886 29194 33462 34502 35829 43791 50193 51753 71658 87582 100386 103506 131373 155259 189761 224263 262746 310518 379522 394119 448526 465777 569283 672789 788238 931554 1138566 1345578 1707849 2018367 2466893 3415698 4036734 4933786 5123547 6055101 7400679 10247094 12110202 14801358 22202037 44404074 66606111 133212222