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133234220 = 22571735501
BaseRepresentation
bin1111111000011…
…11111000101100
3100021200222222202
413330033320230
5233101443340
621115401032
73205320650
oct774177054
9307628882
10133234220
1169230929
1238753178
13217ab922
14139a2a60
15ba6bc15
hex7f0fe2c

133234220 has 48 divisors (see below), whose sum is σ = 321668928. Its totient is φ = 45408000.

The previous prime is 133234217. The next prime is 133234223. The reversal of 133234220 is 22432331.

It is an interprime number because it is at equal distance from previous prime (133234217) and next prime (133234223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133234192 and 133234201.

It is not an unprimeable number, because it can be changed into a prime (133234223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21470 + ... + 26970.

It is an arithmetic number, because the mean of its divisors is an integer number (6701436).

Almost surely, 2133234220 is an apocalyptic number.

133234220 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 133234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160834464).

133234220 is an abundant number, since it is smaller than the sum of its proper divisors (188434708).

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

133234220 is a wasteful number, since it uses less digits than its factorization.

133234220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 133234220 is about 11542.7128527049. The cubic root of 133234220 is about 510.7463377465.

Adding to 133234220 its reverse (22432331), we get a palindrome (155666551).

The spelling of 133234220 in words is "one hundred thirty-three million, two hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 5501 6055 11002 12110 22004 24220 27505 38507 55010 77014 110020 154028 192535 385070 770140 951673 1903346 3806692 4758365 6661711 9516730 13323422 19033460 26646844 33308555 66617110 133234220