Search a number
-
+
1997226 = 2327112131
BaseRepresentation
bin111100111100110101010
310202110200100
413213212222
51002402401
6110450230
722655550
oct7474652
93673610
101997226
111144600
12803976
1354c0ba
1439dbd0
15296b86
hex1e79aa

1997226 has 72 divisors (see below), whose sum is σ = 5477472. Its totient is φ = 514800.

The previous prime is 1997213. The next prime is 1997231. The reversal of 1997226 is 6227991.

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

Its product of digits (13608) is a multiple of the sum of its prime factors (168).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15181 + ... + 15311.

It is an arithmetic number, because the mean of its divisors is an integer number (76076).

21997226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738736).

1997226 is an abundant number, since it is smaller than the sum of its proper divisors (3480246).

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

1997226 is a wasteful number, since it uses less digits than its factorization.

1997226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 1997226 is about 1413.2324649540. The cubic root of 1997226 is about 125.9338276878.

The spelling of 1997226 in words is "one million, nine hundred ninety-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 131 154 198 231 242 262 363 393 462 693 726 786 847 917 1089 1179 1386 1441 1694 1834 2178 2358 2541 2751 2882 4323 5082 5502 7623 8253 8646 10087 12969 15246 15851 16506 20174 25938 30261 31702 47553 60522 90783 95106 110957 142659 181566 221914 285318 332871 665742 998613 1997226