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230220420 = 22358346229
BaseRepresentation
bin11011011100011…
…10001010000100
3121001012102001020
431232032022010
5432414023140
634502231140
75463561363
oct1556161204
9531172036
10230220420
11108a54011
12651254b0
1338908701
142280b7da
15153286d0
hexdb8e284

230220420 has 48 divisors (see below), whose sum is σ = 652397760. Its totient is φ = 60651136.

The previous prime is 230220407. The next prime is 230220421. The reversal of 230220420 is 24022032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230220420.

It is not an unprimeable number, because it can be changed into a prime (230220421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18135 + ... + 28094.

It is an arithmetic number, because the mean of its divisors is an integer number (13591620).

Almost surely, 2230220420 is an apocalyptic number.

230220420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230220420 is an abundant number, since it is smaller than the sum of its proper divisors (422177340).

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

230220420 is a wasteful number, since it uses less digits than its factorization.

230220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46324 (or 46322 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230220420 is about 15173.0161800481. The cubic root of 230220420 is about 612.8882292289. Note that the first 3 decimals are identical.

Adding to 230220420 its reverse (24022032), we get a palindrome (254242452).

It can be divided in two parts, 2302 and 20420, that added together give a palindrome (22722).

The spelling of 230220420 in words is "two hundred thirty million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 46229 92458 138687 184916 231145 277374 462290 554748 693435 924580 1386870 2773740 3837007 7674014 11511021 15348028 19185035 23022042 38370070 46044084 57555105 76740140 115110210 230220420