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223032220020 = 223254337285697
BaseRepresentation
bin1100111110110111000…
…0011001100101110100
3210022200111110200122100
43033231300121211310
512123232222020040
6250243134302100
722053642406341
oct3175560314564
9708614420570
10223032220020
1186650967a85
1237285057930
1318054c7c92c
14ab1ad997c8
155c054eab30
hex33edc19974

223032220020 has 72 divisors (see below), whose sum is σ = 676689426504. Its totient is φ = 59461337088.

The previous prime is 223032219947. The next prime is 223032220027. The reversal of 223032220020 is 20022230322.

It can be written as a sum of positive squares in 4 ways, for example, as 27820238436 + 195211981584 = 166794^2 + 441828^2 .

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 = 223032219975 and 223032220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223032220027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637812 + ... + 923508.

It is an arithmetic number, because the mean of its divisors is an integer number (9398464257).

Almost surely, 2223032220020 is an apocalyptic number.

223032220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223032220020 is an abundant number, since it is smaller than the sum of its proper divisors (453657206484).

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

223032220020 is a wasteful number, since it uses less digits than its factorization.

223032220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290049 (or 290044 counting only the distinct ones).

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

Adding to 223032220020 its reverse (20022230322), we get a palindrome (243054450342).

The spelling of 223032220020 in words is "two hundred twenty-three billion, thirty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4337 8674 13011 17348 21685 26022 39033 43370 52044 65055 78066 86740 130110 156132 195165 260220 285697 390330 571394 780660 857091 1142788 1428485 1714182 2571273 2856970 3428364 4285455 5142546 5713940 8570910 10285092 12856365 17141820 25712730 51425460 1239067889 2478135778 3717203667 4956271556 6195339445 7434407334 11151611001 12390678890 14868814668 18586018335 22303222002 24781357780 37172036670 44606444004 55758055005 74344073340 111516110010 223032220020