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232540020 = 223254727487
BaseRepresentation
bin11011101110001…
…00011101110100
3121012120020221100
431313010131310
5434012240040
635024050100
75522362146
oct1567043564
9535506840
10232540020
1110a298839
1265a63930
133923b45b
1422c52c96
1515635b30
hexddc4774

232540020 has 72 divisors (see below), whose sum is σ = 720405504. Its totient is φ = 60689088.

The previous prime is 232540013. The next prime is 232540043. The reversal of 232540020 is 20045232.

232540020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232539975 and 232540002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5284 + ... + 22203.

It is an arithmetic number, because the mean of its divisors is an integer number (10005632).

Almost surely, 2232540020 is an apocalyptic number.

232540020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232540020 is an abundant number, since it is smaller than the sum of its proper divisors (487865484).

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

232540020 is a wasteful number, since it uses less digits than its factorization.

232540020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27549 (or 27544 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 232540020 is about 15249.2629330076. The cubic root of 232540020 is about 614.9397521786.

Adding to 232540020 its reverse (20045232), we get a palindrome (252585252).

The spelling of 232540020 in words is "two hundred thirty-two million, five hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 27487 54974 82461 109948 137435 164922 247383 274870 329844 412305 494766 549740 824610 989532 1236915 1291889 1649220 2473830 2583778 3875667 4947660 5167556 6459445 7751334 11627001 12918890 15502668 19378335 23254002 25837780 38756670 46508004 58135005 77513340 116270010 232540020