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230412420 = 223257182867
BaseRepresentation
bin11011011101111…
…01000010000100
3121001120011102100
431232331002010
5432441144140
634510312100
75465321220
oct1556750204
9531504370
10230412420
11109075297
12651b8630
1338974c14
142285b780
1515365530
hexdbbd084

230412420 has 72 divisors (see below), whose sum is σ = 798767424. Its totient is φ = 52665408.

The previous prime is 230412419. The next prime is 230412421. The reversal of 230412420 is 24214032.

230412420 is a `hidden beast` number, since 230 + 4 + 12 + 420 = 666.

230412420 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 (230412419) and next prime (230412421).

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 = 230412393 and 230412402.

It is not an unprimeable number, because it can be changed into a prime (230412421) 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, 90174 + ... + 92693.

It is an arithmetic number, because the mean of its divisors is an integer number (11093992).

Almost surely, 2230412420 is an apocalyptic number.

230412420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230412420 is an abundant number, since it is smaller than the sum of its proper divisors (568355004).

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

230412420 is a wasteful number, since it uses less digits than its factorization.

230412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182889 (or 182884 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230412420 is about 15179.3418829671. The cubic root of 230412420 is about 613.0585614150.

Adding to 230412420 its reverse (24214032), we get a palindrome (254626452).

The spelling of 230412420 in words is "two hundred thirty million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 182867 365734 548601 731468 914335 1097202 1280069 1645803 1828670 2194404 2560138 2743005 3291606 3657340 3840207 5120276 5486010 6400345 6583212 7680414 8229015 10972020 11520621 12800690 15360828 16458030 19201035 23041242 25601380 32916060 38402070 46082484 57603105 76804140 115206210 230412420