Search a number
-
+
224542041304 = 237231317091877
BaseRepresentation
bin1101000100011110111…
…1111010010011011000
3210110120201110120002011
43101013233322103120
512134330230310204
6251053031115304
722136234600560
oct3210757722330
9713521416064
10224542041304
1187256146069
1237626812b34
1318235a002c9
14ac216d7da0
155c92d35304
hex3447bfa4d8

224542041304 has 128 divisors (see below), whose sum is σ = 506897740800. Its totient is φ = 91168197120.

The previous prime is 224542041277. The next prime is 224542041313. The reversal of 224542041304 is 403140245422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119627214 + ... + 119629090.

It is an arithmetic number, because the mean of its divisors is an integer number (3960138600).

Almost surely, 2224542041304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224542041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253448870400).

224542041304 is an abundant number, since it is smaller than the sum of its proper divisors (282355699496).

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

224542041304 is a wasteful number, since it uses less digits than its factorization.

224542041304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 224542041304 its reverse (403140245422), we get a palindrome (627682286726).

The spelling of 224542041304 in words is "two hundred twenty-four billion, five hundred forty-two million, forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 131 161 184 262 322 524 644 709 917 1048 1288 1418 1834 1877 2836 3013 3668 3754 4963 5672 6026 7336 7508 9926 12052 13139 15016 16307 19852 21091 24104 26278 32614 39704 42182 43171 52556 65228 84364 86342 92879 105112 114149 130456 168728 172684 185758 228298 245887 302197 345368 371516 456596 491774 604394 650153 743032 913192 983548 1208788 1300306 1330793 1721209 1967096 2136217 2417576 2600612 2661586 3442418 4272434 5201224 5323172 5655401 6884836 8544868 9315551 10646344 11310802 13769672 14953519 17089736 18631102 22621604 29907038 30608239 37262204 39587807 45243208 59814076 61216478 74524408 79175614 119628152 122432956 158351228 174333883 214257673 244865912 316702456 348667766 428515346 697335532 857030692 1220337181 1394671064 1714061384 2440674362 4009679309 4881348724 8019358618 9762697448 16038717236 28067755163 32077434472 56135510326 112271020652 224542041304