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232432420 = 2251131173197
BaseRepresentation
bin11011101101010…
…10001100100100
3121012100210100011
431312222030210
5434000314140
635021500004
75521433353
oct1566521444
9535323304
10232432420
1110a224a10
1265a11604
133920149c
1422c2599a
1515613cea
hexddaa324

232432420 has 96 divisors (see below), whose sum is σ = 555641856. Its totient is φ = 80908800.

The previous prime is 232432399. The next prime is 232432423. The reversal of 232432420 is 24234232.

232432420 is digitally balanced in base 2, 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 232432391 and 232432400.

It is not an unprimeable number, because it can be changed into a prime (232432423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179762 + ... + 1179958.

It is an arithmetic number, because the mean of its divisors is an integer number (5787936).

Almost surely, 2232432420 is an apocalyptic number.

232432420 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 232432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277820928).

232432420 is an abundant number, since it is smaller than the sum of its proper divisors (323209436).

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

232432420 is a wasteful number, since it uses less digits than its factorization.

232432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 232432420 is about 15245.7344854225. The cubic root of 232432420 is about 614.8448900475.

Adding to 232432420 its reverse (24234232), we get a palindrome (256666652).

The spelling of 232432420 in words is "two hundred thirty-two million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 173 197 220 310 341 346 394 620 682 692 788 865 985 1364 1705 1730 1903 1970 2167 3410 3460 3806 3940 4334 5363 6107 6820 7612 8668 9515 10726 10835 12214 19030 21452 21670 24428 26815 30535 34081 38060 43340 53630 58993 61070 67177 68162 107260 117986 122140 134354 136324 170405 235972 268708 294965 335885 340810 374891 589930 671770 681620 749782 1056511 1179860 1343540 1499564 1874455 2113022 3748910 4226044 5282555 7497820 10565110 11621621 21130220 23243242 46486484 58108105 116216210 232432420