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230043420 = 223252694751
BaseRepresentation
bin11011011011000…
…10111100011100
3121000212102020200
431231202330130
5432342342140
634454343500
75462223345
oct1555427434
9530772220
10230043420
11108943032
126505ab90
1338875c89
14227a30cc
15152e1030
hexdb62f1c

230043420 has 72 divisors (see below), whose sum is σ = 700539840. Its totient is φ = 61104000.

The previous prime is 230043391. The next prime is 230043449. The reversal of 230043420 is 24340032.

230043420 is a `hidden beast` number, since 230 + 0 + 434 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230043391) and next prime (230043449).

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 = 230043393 and 230043402.

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, 46045 + ... + 50795.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2230043420 is an apocalyptic number.

230043420 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 230043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

230043420 is an abundant number, since it is smaller than the sum of its proper divisors (470496420).

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

230043420 is a wasteful number, since it uses less digits than its factorization.

230043420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230043420 is about 15167.1823355559. The cubic root of 230043420 is about 612.7311203307.

Adding to 230043420 its reverse (24340032), we get a palindrome (254383452).

The spelling of 230043420 in words is "two hundred thirty million, forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4751 4842 5380 8070 9502 9684 12105 14253 16140 19004 23755 24210 28506 42759 47510 48420 57012 71265 85518 95020 142530 171036 213795 285060 427590 855180 1278019 2556038 3834057 5112076 6390095 7668114 11502171 12780190 15336228 19170285 23004342 25560380 38340570 46008684 57510855 76681140 115021710 230043420