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233890420 = 225174391567
BaseRepresentation
bin11011111000011…
…10001001110100
3121022002212100011
431330032021310
5434333443140
635113030004
75540015161
oct1574161164
9538085304
10233890420
11110030375
12663b5304
13395c1cca
14230c5068
1515800cea
hexdf0e274

233890420 has 48 divisors (see below), whose sum is σ = 521579520. Its totient is φ = 87796224.

The previous prime is 233890411. The next prime is 233890421. The reversal of 233890420 is 24098332.

233890420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233890421) 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, 148477 + ... + 150043.

It is an arithmetic number, because the mean of its divisors is an integer number (10866240).

Almost surely, 2233890420 is an apocalyptic number.

233890420 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 233890420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

233890420 is an abundant number, since it is smaller than the sum of its proper divisors (287689100).

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

233890420 is a wasteful number, since it uses less digits than its factorization.

233890420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 233890420 is about 15293.4763870089. The cubic root of 233890420 is about 616.1278091184.

The spelling of 233890420 in words is "two hundred thirty-three million, eight hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 439 878 1567 1756 2195 3134 4390 6268 7463 7835 8780 14926 15670 26639 29852 31340 37315 53278 74630 106556 133195 149260 266390 532780 687913 1375826 2751652 3439565 6879130 11694521 13758260 23389042 46778084 58472605 116945210 233890420