Search a number
-
+
222965064200 = 235217321932
BaseRepresentation
bin1100111110100111000…
…0001110001000001000
3210022111211002211011202
43033221300032020020
512123113024023300
6250232335043332
722052165526644
oct3175160161010
9708454084152
10222965064200
1186616a698aa
1237266670548
1318044098868
14ab120b7c24
155bee682ad5
hex33e9c0e208

222965064200 has 108 divisors (see below), whose sum is σ = 524123182485. Its totient is φ = 88211066880.

The previous prime is 222965064199. The next prime is 222965064209. The reversal of 222965064200 is 2460569222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 1012894276 + 221952169924 = 31826^2 + 471118^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333890.

It is not an unprimeable number, because it can be changed into a prime (222965064209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1155259304 + ... + 1155259496.

Almost surely, 2222965064200 is an apocalyptic number.

222965064200 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 222965064200

222965064200 is an abundant number, since it is smaller than the sum of its proper divisors (301158118285).

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

222965064200 is an equidigital number, since it uses as much as digits as its factorization.

222965064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 222965064200 in words is "two hundred twenty-two billion, nine hundred sixty-five million, sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 193 200 346 386 692 772 865 965 1384 1544 1730 1930 3460 3860 4325 4825 6920 7720 8650 9650 17300 19300 29929 33389 34600 37249 38600 59858 66778 74498 119716 133556 148996 149645 166945 186245 239432 267112 297992 299290 333890 372490 598580 667780 744980 748225 834725 931225 1197160 1335560 1489960 1496450 1669450 1862450 2992900 3338900 3724900 5776297 5985800 6444077 6677800 7449800 11552594 12888154 23105188 25776308 28881485 32220385 46210376 51552616 57762970 64440770 115525940 128881540 144407425 161101925 231051880 257763080 288814850 322203850 577629700 644407700 1114825321 1155259400 1288815400 2229650642 4459301284 5574126605 8918602568 11148253210 22296506420 27870633025 44593012840 55741266050 111482532100 222965064200