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230032020420 = 223352129200087
BaseRepresentation
bin1101011000111011111…
…0100001001111000100
3210222202022211101122000
43112032332201033010
512232101144123140
6253401504305300
722422256624566
oct3261676411704
9728668741560
10230032020420
1189613095694
12386b9312230
13188cc215a67
14b1c28a3336
155eb4cc5a30
hex358efa13c4

230032020420 has 96 divisors (see below), whose sum is σ = 715994899200. Its totient is φ = 61312753152.

The previous prime is 230032020419. The next prime is 230032020499. The reversal of 230032020420 is 24020230032.

230032020420 is a `hidden beast` number, since 2 + 300 + 320 + 2 + 0 + 42 + 0 = 666.

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 = 230032020393 and 230032020402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049617 + ... + 1249703.

It is an arithmetic number, because the mean of its divisors is an integer number (7458280200).

Almost surely, 2230032020420 is an apocalyptic number.

230032020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230032020420 is an abundant number, since it is smaller than the sum of its proper divisors (485962878780).

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

230032020420 is a wasteful number, since it uses less digits than its factorization.

230032020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202234 (or 202226 counting only the distinct ones).

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

Adding to 230032020420 its reverse (24020230032), we get a palindrome (254052250452).

The spelling of 230032020420 in words is "two hundred thirty billion, thirty-two million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2129 4258 6387 8516 10645 12774 19161 21290 25548 31935 38322 42580 57483 63870 76644 95805 114966 127740 191610 200087 229932 287415 383220 400174 574830 600261 800348 1000435 1149660 1200522 1800783 2000870 2401044 3001305 3601566 4001740 5402349 6002610 7203132 9003915 10804698 12005220 18007830 21609396 27011745 36015660 54023490 108046980 425985223 851970446 1277955669 1703940892 2129926115 2555911338 3833867007 4259852230 5111822676 6389778345 7667734014 8519704460 11501601021 12779556690 15335468028 19169335035 23003202042 25559113380 38338670070 46006404084 57508005105 76677340140 115016010210 230032020420