Search a number
-
+
32390226 = 23311311759
BaseRepresentation
bin111101110001…
…1110001010010
32020221121001000
41323203301102
531242441401
63114122430
7542212101
oct173436122
966847030
1032390226
1117313290
12aa20416
136930c1b
144432038
152c9c186
hex1ee3c52

32390226 has 64 divisors (see below), whose sum is σ = 81100800. Its totient is φ = 9493200.

The previous prime is 32390213. The next prime is 32390227. The reversal of 32390226 is 62209323.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 32390226.

It is not an unprimeable number, because it can be changed into a prime (32390227) 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, 17535 + ... + 19293.

It is an arithmetic number, because the mean of its divisors is an integer number (1267200).

Almost surely, 232390226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32390226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40550400).

32390226 is an abundant number, since it is smaller than the sum of its proper divisors (48710574).

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

32390226 is a wasteful number, since it uses less digits than its factorization.

32390226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 32390226 is about 5691.2411651590. The cubic root of 32390226 is about 318.7655106639.

Adding to 32390226 its reverse (62209323), we get a palindrome (94599549).

The spelling of 32390226 in words is "thirty-two million, three hundred ninety thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 1759 2046 3069 3518 5277 6138 9207 10554 15831 18414 19349 31662 38698 47493 54529 58047 94986 109058 116094 163587 174141 327174 348282 490761 522423 599819 981522 1044846 1199638 1472283 1799457 2944566 3598914 5398371 10796742 16195113 32390226