Search a number
-
+
201374982 = 232234011213
BaseRepresentation
bin11000000000010…
…11110100000110
3112000220220112200
430000023310012
5403022444412
631552055330
74663442034
oct1400136406
9460826480
10201374982
11a3742006
1257534546
13329490c3
141ca5d554
1512a2b9dc
hexc00bd06

201374982 has 48 divisors (see below), whose sum is σ = 456794208. Its totient is φ = 63993600.

The previous prime is 201374933. The next prime is 201374983. The reversal of 201374982 is 289473102.

201374982 is a `hidden beast` number, since 201 + 374 + 9 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201374983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165408 + ... + 166620.

It is an arithmetic number, because the mean of its divisors is an integer number (9516546).

Almost surely, 2201374982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201374982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228397104).

201374982 is an abundant number, since it is smaller than the sum of its proper divisors (255419226).

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

201374982 is a wasteful number, since it uses less digits than its factorization.

201374982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 201374982 is about 14190.6653120987. The cubic root of 201374982 is about 586.1406454181.

The spelling of 201374982 in words is "two hundred one million, three hundred seventy-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 401 414 802 1203 1213 2406 2426 3609 3639 7218 7278 9223 10917 18446 21834 27669 27899 55338 55798 83007 83697 166014 167394 251091 486413 502182 972826 1459239 2918478 4377717 8755434 11187499 22374998 33562497 67124994 100687491 201374982