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232405420 = 225132292371
BaseRepresentation
bin11011101101000…
…11100110101100
3121012022102022011
431312203212230
5433443433140
635021131004
75521261552
oct1566434654
9535272264
10232405420
1110a2066a5
12659b9a64
13391c2100
1422c19bd2
151560acea
hexdda39ac

232405420 has 72 divisors (see below), whose sum is σ = 546935760. Its totient is φ = 82817280.

The previous prime is 232405417. The next prime is 232405421. The reversal of 232405420 is 24504232.

It is a junction number, because it is equal to n+sod(n) for n = 232405391 and 232405400.

It is not an unprimeable number, because it can be changed into a prime (232405421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96835 + ... + 99205.

It is an arithmetic number, because the mean of its divisors is an integer number (7596330).

Almost surely, 2232405420 is an apocalyptic number.

232405420 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 232405420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273467880).

232405420 is an abundant number, since it is smaller than the sum of its proper divisors (314530340).

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

232405420 is a wasteful number, since it uses less digits than its factorization.

232405420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 232405420 is about 15244.8489661262. The cubic root of 232405420 is about 614.8210817583.

Adding to 232405420 its reverse (24504232), we get a palindrome (256909652).

The spelling of 232405420 in words is "two hundred thirty-two million, four hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 169 260 290 338 377 580 676 754 845 1508 1690 1885 2371 3380 3770 4742 4901 7540 9484 9802 11855 19604 23710 24505 30823 47420 49010 61646 68759 98020 123292 137518 154115 275036 308230 343795 400699 616460 687590 801398 893867 1375180 1602796 1787734 2003495 3575468 4006990 4469335 8013980 8938670 11620271 17877340 23240542 46481084 58101355 116202710 232405420