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201230420 = 22529379377
BaseRepresentation
bin10111111111010…
…00100001010100
3112000122120020112
423333220201110
5403003333140
631545022152
74662300416
oct1377504124
9460576215
10201230420
11a3653436
1257484958
13328c8371
141ca229b6
15129edc65
hexbfe8854

201230420 has 48 divisors (see below), whose sum is σ = 449018640. Its totient is φ = 75608064.

The previous prime is 201230417. The next prime is 201230423. The reversal of 201230420 is 24032102.

201230420 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 (201230417) and next prime (201230423).

It can be written as a sum of positive squares in 8 ways, for example, as 611524 + 200618896 = 782^2 + 14164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201230395 and 201230404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201230423) 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, 16772 + ... + 26148.

It is an arithmetic number, because the mean of its divisors is an integer number (9354555).

Almost surely, 2201230420 is an apocalyptic number.

201230420 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 201230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224509320).

201230420 is an abundant number, since it is smaller than the sum of its proper divisors (247788220).

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

201230420 is a wasteful number, since it uses less digits than its factorization.

201230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 201230420 is about 14185.5708380030. The cubic root of 201230420 is about 586.0003533334. Note that the first 3 decimals are identical.

Adding to 201230420 its reverse (24032102), we get a palindrome (225262522).

The spelling of 201230420 in words is "two hundred one million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 5365 9377 10730 18754 21460 37508 46885 93770 187540 271933 346949 543866 693898 1087732 1359665 1387796 1734745 2719330 3469490 5438660 6938980 10061521 20123042 40246084 50307605 100615210 201230420