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201966468 = 2231110115149
BaseRepresentation
bin11000000100111…
…00001110000100
3112002000221220120
430002130032010
5403200411333
632012501540
75001454344
oct1402341604
9462027816
10201966468
11a4006440
125777a8b0
1332ac53b2
141cb74d24
1512ae6db3
hexc09c384

201966468 has 48 divisors (see below), whose sum is σ = 519220800. Its totient is φ = 60592000.

The previous prime is 201966463. The next prime is 201966481. The reversal of 201966468 is 864669102.

It is not an unprimeable number, because it can be changed into a prime (201966463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5758 + ... + 20906.

It is an arithmetic number, because the mean of its divisors is an integer number (10817100).

Almost surely, 2201966468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201966468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259610400).

201966468 is an abundant number, since it is smaller than the sum of its proper divisors (317254332).

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

201966468 is a wasteful number, since it uses less digits than its factorization.

201966468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15268 (or 15266 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 201966468 is about 14211.4907029488. The cubic root of 201966468 is about 586.7139624118.

It can be divided in two parts, 201 and 966468, that added together give a palindrome (966669).

The spelling of 201966468 in words is "two hundred one million, nine hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 15149 30298 45447 60596 90894 166639 181788 333278 499917 666556 999834 1530049 1999668 3060098 4590147 6120196 9180294 16830539 18360588 33661078 50491617 67322156 100983234 201966468