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132323226 = 2373113569
BaseRepresentation
bin1111110001100…
…01011110011010
3100012222201100020
413320301132122
5232333320401
621044051310
73164505000
oct770613632
9305881306
10132323226
1168769442
1238393b36
1321550089
1413806a70
15b93bd36
hex7e3179a

132323226 has 64 divisors (see below), whose sum is σ = 311904000. Its totient is φ = 37406208.

The previous prime is 132323207. The next prime is 132323227. The reversal of 132323226 is 622323231.

It is a super-2 number, since 2×1323232262 = 35018872278094152, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132323196 and 132323205.

It is not an unprimeable number, because it can be changed into a prime (132323227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232270 + ... + 232838.

It is an arithmetic number, because the mean of its divisors is an integer number (4873500).

Almost surely, 2132323226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155952000).

132323226 is an abundant number, since it is smaller than the sum of its proper divisors (179580774).

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

132323226 is a wasteful number, since it uses less digits than its factorization.

132323226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 694 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 132323226 is about 11503.1832985483. The cubic root of 132323226 is about 509.5795920258.

Adding to 132323226 its reverse (622323231), we get a palindrome (754646457).

The spelling of 132323226 in words is "one hundred thirty-two million, three hundred twenty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 226 294 339 343 569 678 686 791 1029 1138 1582 1707 2058 2373 3414 3983 4746 5537 7966 11074 11949 16611 23898 27881 33222 38759 55762 64297 77518 83643 116277 128594 167286 192891 195167 232554 385782 390334 450079 585501 900158 1171002 1350237 2700474 3150553 6301106 9451659 18903318 22053871 44107742 66161613 132323226