Search a number
-
+
3203226 = 236133
BaseRepresentation
bin1100001110000010011010
320000202000000
430032002122
51310000401
6152353430
736140565
oct14160232
96022000
103203226
1118986a4
1210a5876
13882000
145d54dc
15434186
hex30e09a

3203226 has 56 divisors (see below), whose sum is σ = 7804020. Its totient is φ = 985608.

The previous prime is 3203177. The next prime is 3203243. The reversal of 3203226 is 6223023.

It can be written as a sum of positive squares in 2 ways, for example, as 998001 + 2205225 = 999^2 + 1485^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 3203199 and 3203208.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 246396 + ... + 246408.

Almost surely, 23203226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3203226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902010).

3203226 is an abundant number, since it is smaller than the sum of its proper divisors (4600794).

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

3203226 is an frugal number, since it uses more digits than its factorization.

3203226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3203226 is about 1789.7558492711. The cubic root of 3203226 is about 147.4107628377.

Adding to 3203226 its reverse (6223023), we get a palindrome (9426249).

The spelling of 3203226 in words is "three million, two hundred three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 338 351 486 507 702 729 1014 1053 1458 1521 2106 2197 3042 3159 4394 4563 6318 6591 9126 9477 13182 13689 18954 19773 27378 39546 41067 59319 82134 118638 123201 177957 246402 355914 533871 1067742 1601613 3203226