Search a number
-
+
233030420 = 225712231361
BaseRepresentation
bin11011110001111…
…00001100010100
3121020111011122022
431320330030110
5434123433140
635042352312
75526503660
oct1570741424
9536434568
10233030420
1110a5a3227
126605b698
133938072c
1422d3d8a0
15156d10b5
hexde3c314

233030420 has 48 divisors (see below), whose sum is σ = 560141568. Its totient is φ = 79772160.

The previous prime is 233030417. The next prime is 233030423. The reversal of 233030420 is 24030332.

233030420 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 (233030417) and next prime (233030423).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233030423) 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, 170540 + ... + 171900.

It is an arithmetic number, because the mean of its divisors is an integer number (11669616).

Almost surely, 2233030420 is an apocalyptic number.

233030420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233030420 is an abundant number, since it is smaller than the sum of its proper divisors (327111148).

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

233030420 is a wasteful number, since it uses less digits than its factorization.

233030420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 233030420 is about 15265.3339301831. Note that the first 3 decimals coincide. The cubic root of 233030420 is about 615.3717275907.

Adding to 233030420 its reverse (24030332), we get a palindrome (257060752).

The spelling of 233030420 in words is "two hundred thirty-three million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1223 1361 2446 2722 4892 5444 6115 6805 8561 9527 12230 13610 17122 19054 24460 27220 34244 38108 42805 47635 85610 95270 171220 190540 1664503 3329006 6658012 8322515 11651521 16645030 23303042 33290060 46606084 58257605 116515210 233030420