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230012422024 = 237111723954979
BaseRepresentation
bin1101011000110111001…
…1110000011110001000
3210222200221221200200111
43112031303300132020
512232031140001044
6253355524244104
722421631220450
oct3261563603610
9728627850614
10230012422024
118960301a070
12386b2840634
13188c8143388
14b1c0040d60
155eb3203b34
hex358dcf0788

230012422024 has 128 divisors (see below), whose sum is σ = 594073958400. Its totient is φ = 80676541440.

The previous prime is 230012422021. The next prime is 230012422037. The reversal of 230012422024 is 420224210032.

230012422024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230012421986 and 230012422004.

It is not an unprimeable number, because it can be changed into a prime (230012422021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236634 + ... + 718345.

It is an arithmetic number, because the mean of its divisors is an integer number (4641202800).

Almost surely, 2230012422024 is an apocalyptic number.

It is an amenable number.

230012422024 is an abundant number, since it is smaller than the sum of its proper divisors (364061536376).

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

230012422024 is a wasteful number, since it uses less digits than its factorization.

230012422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955043 (or 955039 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 230012422024 its reverse (420224210032), we get a palindrome (650236632056).

The spelling of 230012422024 in words is "two hundred thirty billion, twelve million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 17 22 23 28 34 44 46 56 68 77 88 92 119 136 154 161 184 187 238 253 308 322 374 391 476 506 616 644 748 782 952 1012 1288 1309 1496 1564 1771 2024 2618 2737 3128 3542 4301 5236 5474 7084 8602 10472 10948 14168 17204 21896 30107 34408 60214 120428 240856 954979 1909958 3819916 6684853 7639832 10504769 13369706 16234643 21009538 21964517 26739412 32469286 42019076 43929034 53478824 64938572 73533383 84038152 87858068 113642501 129877144 147066766 153751619 175716136 178581073 227285002 241609687 294133532 307503238 357162146 373396789 454570004 483219374 588267064 615006476 714324292 746793578 909140008 966438748 1230012952 1250067511 1428648584 1493587156 1691267809 1932877496 2500135022 2613777523 2987174312 3382535618 4107364679 5000270044 5227555046 6765071236 8214729358 10000540088 10455110092 13530142472 16429458716 20910220184 28751552753 32858917432 57503105506 115006211012 230012422024