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133122208 = 2519373587
BaseRepresentation
bin1111110111101…
…00100010100000
3100021111022100011
413323310202200
5233034402313
621113134304
73204343252
oct773644240
9307438304
10133122208
116916475a
12386ba394
132176c94b
1413973cd2
15ba4893d
hex7ef48a0

133122208 has 48 divisors (see below), whose sum is σ = 277089120. Its totient is φ = 62781696.

The previous prime is 133122193. The next prime is 133122217. The reversal of 133122208 is 802221331.

It is a super-3 number, since 3×1331222083 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226491 + ... + 227077.

It is an arithmetic number, because the mean of its divisors is an integer number (5772690).

Almost surely, 2133122208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133122208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138544560).

133122208 is an abundant number, since it is smaller than the sum of its proper divisors (143966912).

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

133122208 is a wasteful number, since it uses less digits than its factorization.

133122208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 133122208 is about 11537.8597668718. The cubic root of 133122208 is about 510.6031669239.

Adding to 133122208 its reverse (802221331), we get a palindrome (935343539).

The spelling of 133122208 in words is "one hundred thirty-three million, one hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 373 587 608 746 1174 1492 2348 2984 4696 5968 7087 9392 11153 11936 14174 18784 22306 28348 44612 56696 89224 113392 178448 218951 226784 356896 437902 875804 1751608 3503216 4160069 7006432 8320138 16640276 33280552 66561104 133122208