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201930480 = 243251929509
BaseRepresentation
bin11000000100100…
…11011011110000
3112001222010112200
430002103123300
5403143233410
632012023200
75001244413
oct1402233360
9461863480
10201930480
11a3a913a4
1257761b00
1332ab1bbb
141cb65b7a
1512adb3c0
hexc0936f0

201930480 has 240 divisors, whose sum is σ = 739908000. Its totient is φ = 49158144.

The previous prime is 201930479. The next prime is 201930481. The reversal of 201930480 is 84039102.

201930480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201930479) and next prime (201930481).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201930481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396466 + ... + 396974.

It is an arithmetic number, because the mean of its divisors is an integer number (3082950).

Almost surely, 2201930480 is an apocalyptic number.

201930480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369954000).

201930480 is an abundant number, since it is smaller than the sum of its proper divisors (537977520).

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

201930480 is a wasteful number, since it uses less digits than its factorization.

201930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201930480 is about 14210.2244880227. The cubic root of 201930480 is about 586.6791118802.

Adding to 201930480 its reverse (84039102), we get a palindrome (285969582).

The spelling of 201930480 in words is "two hundred one million, nine hundred thirty thousand, four hundred eighty".