Search a number
-
+
223312430200 = 235219161336433
BaseRepresentation
bin1100111111111001110…
…1010100010001111000
3210100102000201211202011
43033332131110101320
512124320440231300
6250331024215304
722063614223546
oct3177635242170
9710360654664
10223312430200
1186785055042
1237342a6a534
131809b03bb82
14ab4629ad96
155c1edeaeba
hex33fe754478

223312430200 has 96 divisors (see below), whose sum is σ = 546881626800. Its totient is φ = 84568872960.

The previous prime is 223312430197. The next prime is 223312430239. The reversal of 223312430200 is 2034213322.

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, 6111184 + ... + 6147616.

Almost surely, 2223312430200 is an apocalyptic number.

223312430200 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 223312430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273440813400).

223312430200 is an abundant number, since it is smaller than the sum of its proper divisors (323569196600).

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

223312430200 is a wasteful number, since it uses less digits than its factorization.

223312430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38081 (or 38072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 223312430200 its reverse (2034213322), we get a palindrome (225346643522).

The spelling of 223312430200 in words is "two hundred twenty-three billion, three hundred twelve million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1613 1900 3226 3800 6452 8065 12904 16130 30647 32260 36433 40325 61294 64520 72866 80650 122588 145732 153235 161300 182165 245176 291464 306470 322600 364330 612940 692227 728660 766175 910825 1225880 1384454 1457320 1532350 1821650 2768908 3064700 3461135 3643300 5537816 6129400 6922270 7286600 13844540 17305675 27689080 34611350 58766429 69222700 117532858 138445400 235065716 293832145 470131432 587664290 1116562151 1175328580 1469160725 2233124302 2350657160 2938321450 4466248604 5582810755 5876642900 8932497208 11165621510 11753285800 22331243020 27914053775 44662486040 55828107550 111656215100 223312430200