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232223020020 = 223253599713701
BaseRepresentation
bin1101100001000110010…
…0100001001111110100
3211012102000120201001100
43120101210201033310
512301043043120040
6254403133130100
722530463046535
oct3302144411764
9735360521040
10232223020020
118a537928062
123900b029930
1318b8b115824
14b34d87a68c
156092315b30
hex36119213f4

232223020020 has 144 divisors (see below), whose sum is σ = 707290496640. Its totient is φ = 61673376000.

The previous prime is 232223019997. The next prime is 232223020039. The reversal of 232223020020 is 20020322232.

232223020020 is a `hidden beast` number, since 232 + 2 + 230 + 200 + 2 + 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 = 232223019975 and 232223020002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62744170 + ... + 62747870.

It is an arithmetic number, because the mean of its divisors is an integer number (4911739560).

Almost surely, 2232223020020 is an apocalyptic number.

232223020020 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 232223020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353645248320).

232223020020 is an abundant number, since it is smaller than the sum of its proper divisors (475067476620).

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

232223020020 is a wasteful number, since it uses less digits than its factorization.

232223020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5041 counting only the distinct ones).

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

Adding to 232223020020 its reverse (20020322232), we get a palindrome (252243342252).

The spelling of 232223020020 in words is "two hundred thirty-two billion, two hundred twenty-three million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 971 1077 1436 1795 1942 2154 2913 3231 3590 3701 3884 4308 4855 5385 5826 6462 7180 7402 8739 9710 10770 11103 11652 12924 14565 14804 16155 17478 18505 19420 21540 22206 29130 32310 33309 34956 37010 43695 44412 55515 58260 64620 66618 74020 87390 111030 133236 166545 174780 222060 333090 348589 666180 697178 1045767 1328659 1394356 1742945 2091534 2657318 3137301 3485890 3593671 3985977 4183068 5228835 5314636 6274602 6643295 6971780 7187342 7971954 10457670 10781013 11957931 12549204 13286590 14374684 15686505 15943908 17968355 19929885 20915340 21562026 23915862 26573180 31373010 32343039 35936710 39859770 43124052 47831724 53905065 59789655 62746020 64686078 71873420 79719540 107810130 119579310 129372156 161715195 215620260 239158620 323430390 646860780 1290127889 2580255778 3870383667 5160511556 6450639445 7740767334 11611151001 12901278890 15481534668 19351918335 23222302002 25802557780 38703836670 46444604004 58055755005 77407673340 116111510010 232223020020