Search a number
-
+
223032442404 = 2232910157111113
BaseRepresentation
bin1100111110110111000…
…1001111111000100100
3210022200111212222200210
43033231301033320210
512123232301124104
6250243143135420
722053644323602
oct3175561177044
9708614788623
10223032442404
1186650aaa072
1237285144570
1318055029c15
14ab1b016872
155c05541989
hex33edc4fe24

223032442404 has 96 divisors (see below), whose sum is σ = 544685581440. Its totient is φ = 70939008000.

The previous prime is 223032442351. The next prime is 223032442417. The reversal of 223032442404 is 404244230322.

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, 20063952 + ... + 20075064.

It is an arithmetic number, because the mean of its divisors is an integer number (5673808140).

Almost surely, 2223032442404 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 223032442404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272342790720).

223032442404 is an abundant number, since it is smaller than the sum of its proper divisors (321653139036).

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

223032442404 is a wasteful number, since it uses less digits than its factorization.

223032442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11821 (or 11819 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 223032442404 its reverse (404244230322), we get a palindrome (627276672726).

The spelling of 223032442404 in words is "two hundred twenty-three billion, thirty-two million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 571 606 1142 1212 1713 2284 2929 3426 5858 6852 8787 11113 11716 16559 17574 22226 33118 33339 35148 44452 49677 57671 66236 66678 99354 115342 133356 173013 198708 230684 322277 346026 644554 692052 966831 1122413 1289108 1672459 1933662 2244826 3344918 3367239 3867324 4489652 5017377 6345523 6689836 6734478 10034754 12691046 13468956 19036569 20069508 25382092 32549977 38073138 65099954 76146276 97649931 130199908 184020167 195299862 368040334 390599724 552060501 640897823 736080668 1104121002 1281795646 1922693469 2208242004 2563591292 3845386938 7690773876 18586036867 37172073734 55758110601 74344147468 111516221202 223032442404