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201944464 = 24195991109
BaseRepresentation
bin11000000100101…
…10110110010000
3112001222211201121
430002112312100
5403144210324
632012212024
75001333241
oct1402266620
9461884647
10201944464
11a3aa0957
125776a014
1332ab8387
141cb6acc8
1512ae05e4
hexc096d90

201944464 has 40 divisors (see below), whose sum is σ = 412920000. Its totient is φ = 95412096.

The previous prime is 201944459. The next prime is 201944467. The reversal of 201944464 is 464449102.

It is not an unprimeable number, because it can be changed into a prime (201944467) 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 7 ways as a sum of consecutive naturals, for example, 181542 + ... + 182650.

It is an arithmetic number, because the mean of its divisors is an integer number (10323000).

Almost surely, 2201944464 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 201944464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206460000).

201944464 is an abundant number, since it is smaller than the sum of its proper divisors (210975536).

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

201944464 is a wasteful number, since it uses less digits than its factorization.

201944464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 201944464 is about 14210.7165195848. The cubic root of 201944464 is about 586.6926543814.

The spelling of 201944464 in words is "two hundred one million, nine hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 599 1109 1198 2218 2396 4436 4792 8872 9584 11381 17744 21071 22762 42142 45524 84284 91048 168568 182096 337136 664291 1328582 2657164 5314328 10628656 12621529 25243058 50486116 100972232 201944464