Search a number
-
+
223323031120 = 24572101564061
BaseRepresentation
bin1100111111111100010…
…1110000011001010000
3210100102202200102110211
43033333011300121100
512124331143443440
6250332043333504
722064103305200
oct3177705603120
9710382612424
10223323031120
1186790035732
1237346521294
13180a02b10c7
14ab4785a400
155c20ce1eea
hex33ff170650

223323031120 has 120 divisors (see below), whose sum is σ = 609978903048. Its totient is φ = 75809664000.

The previous prime is 223323031111. The next prime is 223323031171. The reversal of 223323031120 is 21130323322.

It can be written as a sum of positive squares in 4 ways, for example, as 15686059536 + 207636971584 = 125244^2 + 455672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 223323031091 and 223323031100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113890 + ... + 677950.

Almost surely, 2223323031120 is an apocalyptic number.

223323031120 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 223323031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304989451524).

223323031120 is an abundant number, since it is smaller than the sum of its proper divisors (386655871928).

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

223323031120 is a wasteful number, since it uses less digits than its factorization.

223323031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564189 (or 564176 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 223323031120 its reverse (21130323322), we get a palindrome (244453354442).

The spelling of 223323031120 in words is "two hundred twenty-three billion, three hundred twenty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 101 112 140 196 202 245 280 392 404 490 505 560 707 784 808 980 1010 1414 1616 1960 2020 2828 3535 3920 4040 4949 5656 7070 8080 9898 11312 14140 19796 24745 28280 39592 49490 56560 79184 98980 197960 395920 564061 1128122 2256244 2820305 3948427 4512488 5640610 7896854 9024976 11281220 15793708 19742135 22562440 27638989 31587416 39484270 45124880 55277978 56970161 63174832 78968540 110555956 113940322 138194945 157937080 221111912 227880644 276389890 284850805 315874160 398791127 442223824 455761288 552779780 569701610 797582254 911522576 1105559560 1139403220 1595164508 1993955635 2211119120 2278806440 2791537889 3190329016 3987911270 4557612880 5583075778 6380658032 7975822540 11166151556 13957689445 15951645080 22332303112 27915378890 31903290160 44664606224 55830757780 111661515560 223323031120