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133225320 = 23353133547
BaseRepresentation
bin1111111000011…
…01101101101000
3100021200112210010
413330031231220
5233101202240
621115251520
73205253004
oct774155550
9307615703
10133225320
1169225178
1238749ba0
13217a7867
141399d704
15ba69280
hex7f0db68

133225320 has 64 divisors (see below), whose sum is σ = 401065920. Its totient is φ = 35403264.

The previous prime is 133225289. The next prime is 133225327. The reversal of 133225320 is 23522331.

It is not an unprimeable number, because it can be changed into a prime (133225327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35787 + ... + 39333.

It is an arithmetic number, because the mean of its divisors is an integer number (6266655).

Almost surely, 2133225320 is an apocalyptic number.

133225320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200532960).

133225320 is an abundant number, since it is smaller than the sum of its proper divisors (267840600).

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

133225320 is a wasteful number, since it uses less digits than its factorization.

133225320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 133225320 is about 11542.3273216453. The cubic root of 133225320 is about 510.7349649335.

Adding to 133225320 its reverse (23522331), we get a palindrome (156747651).

The spelling of 133225320 in words is "one hundred thirty-three million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 626 939 1252 1565 1878 2504 3130 3547 3756 4695 6260 7094 7512 9390 10641 12520 14188 17735 18780 21282 28376 35470 37560 42564 53205 70940 85128 106410 141880 212820 425640 1110211 2220422 3330633 4440844 5551055 6661266 8881688 11102110 13322532 16653165 22204220 26645064 33306330 44408440 66612660 133225320