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430220420 = 225719197821
BaseRepresentation
bin11001101001001…
…010010010000100
31002222112110110122
4121221022102010
51340114023140
6110405041112
713442545640
oct3151122204
91088473418
10430220420
11200936a73
121000b6198
136b1929c6
14411cdc20
1527b82ab5
hex19a4a484

430220420 has 96 divisors (see below), whose sum is σ = 1093720320. Its totient is φ = 138862080.

The previous prime is 430220419. The next prime is 430220431. The reversal of 430220420 is 24022034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523610 + ... + 524430.

It is an arithmetic number, because the mean of its divisors is an integer number (11392920).

Almost surely, 2430220420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546860160).

430220420 is an abundant number, since it is smaller than the sum of its proper divisors (663499900).

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

430220420 is a wasteful number, since it uses less digits than its factorization.

430220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 430220420 is about 20741.7554705478. The cubic root of 430220420 is about 754.9131780343.

Adding to 430220420 its reverse (24022034), we get a palindrome (454242454).

The spelling of 430220420 in words is "four hundred thirty million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 197 266 380 394 532 665 788 821 985 1330 1379 1642 1970 2660 2758 3284 3743 3940 4105 5516 5747 6895 7486 8210 11494 13790 14972 15599 16420 18715 22988 26201 27580 28735 31198 37430 52402 57470 62396 74860 77995 104804 109193 114940 131005 155990 161737 218386 262010 311980 323474 436772 524020 545965 646948 808685 1091930 1132159 1617370 2183860 2264318 3073003 3234740 4528636 5660795 6146006 11321590 12292012 15365015 21511021 22643180 30730030 43022042 61460060 86044084 107555105 215110210 430220420