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201232420 = 225194331223
BaseRepresentation
bin10111111111010…
…01000000100100
3112000122122222121
423333221000210
5403003414140
631545035324
74662306304
oct1377510044
9460578877
10201232420
11a3654994
1257485b44
13328c924c
141ca23604
15129ee64a
hexbfe9024

201232420 has 48 divisors (see below), whose sum is σ = 446221440. Its totient is φ = 76018176.

The previous prime is 201232411. The next prime is 201232429. The reversal of 201232420 is 24232102.

201232420 is digitally balanced in base 2, 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 (201232411) and next prime (201232429).

It is a junction number, because it is equal to n+sod(n) for n = 201232394 and 201232403.

It is not an unprimeable number, because it can be changed into a prime (201232429) 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, 163929 + ... + 165151.

It is an arithmetic number, because the mean of its divisors is an integer number (9296280).

Almost surely, 2201232420 is an apocalyptic number.

201232420 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 201232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223110720).

201232420 is an abundant number, since it is smaller than the sum of its proper divisors (244989020).

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

201232420 is a wasteful number, since it uses less digits than its factorization.

201232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 201232420 is about 14185.6413319948. The cubic root of 201232420 is about 586.0022947178.

Adding to 201232420 its reverse (24232102), we get a palindrome (225464522).

The spelling of 201232420 in words is "two hundred one million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 433 866 1223 1732 2165 2446 4330 4892 6115 8227 8660 12230 16454 23237 24460 32908 41135 46474 82270 92948 116185 164540 232370 464740 529559 1059118 2118236 2647795 5295590 10061621 10591180 20123242 40246484 50308105 100616210 201232420