Search a number
-
+
12201354 = 2341141167
BaseRepresentation
bin101110100010…
…110110001010
3211221220010000
4232202312022
511110420404
61113303430
7205465314
oct56426612
924856100
1012201354
116984070
124104b76
1326b2849
1418987b4
151110339
hexba2d8a

12201354 has 80 divisors (see below), whose sum is σ = 30735936. Its totient is φ = 3585600.

The previous prime is 12201353. The next prime is 12201367. The reversal of 12201354 is 45310221.

12201354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12201353) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72979 + ... + 73145.

Almost surely, 212201354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367968).

12201354 is an abundant number, since it is smaller than the sum of its proper divisors (18534582).

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

12201354 is a wasteful number, since it uses less digits than its factorization.

12201354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12201354 is about 3493.0436584732. The cubic root of 12201354 is about 230.2162679101.

Adding to 12201354 its reverse (45310221), we get a palindrome (57511575).

The spelling of 12201354 in words is "twelve million, two hundred one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 167 198 246 297 334 369 451 501 594 738 891 902 1002 1107 1353 1503 1782 1837 2214 2706 3006 3321 3674 4059 4509 5511 6642 6847 8118 9018 11022 12177 13527 13694 16533 20541 24354 27054 33066 36531 41082 49599 61623 73062 75317 99198 123246 148797 150634 184869 225951 297594 369738 451902 554607 677853 1109214 1355706 2033559 4067118 6100677 12201354