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201368442 = 23112614547
BaseRepresentation
bin11000000000010…
…10001101111010
3112000220120120110
430000022031322
5403022242232
631552005150
74663414002
oct1400121572
9460816513
10201368442
11a3738100
12575307b6
1332946132
141ca5b002
1512a29acc
hexc00a37a

201368442 has 48 divisors (see below), whose sum is σ = 450033696. Its totient is φ = 60007200.

The previous prime is 201368437. The next prime is 201368449. The reversal of 201368442 is 244863102.

It is not an unprimeable number, because it can be changed into a prime (201368449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42013 + ... + 46559.

It is an arithmetic number, because the mean of its divisors is an integer number (9375702).

Almost surely, 2201368442 is an apocalyptic number.

201368442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201368442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225016848).

201368442 is an abundant number, since it is smaller than the sum of its proper divisors (248665254).

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

201368442 is a wasteful number, since it uses less digits than its factorization.

201368442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 201368442 is about 14190.4348770572. The cubic root of 201368442 is about 586.1343000398.

The spelling of 201368442 in words is "two hundred one million, three hundred sixty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 61 66 121 122 183 242 363 366 671 726 1342 2013 4026 4547 7381 9094 13641 14762 22143 27282 44286 50017 100034 150051 277367 300102 550187 554734 832101 1100374 1650561 1664202 3051037 3301122 6102074 9153111 18306222 33561407 67122814 100684221 201368442