Search a number
-
+
223011002323424 = 2572661921487597
BaseRepresentation
bin110010101101001111001011…
…100100110001000111100000
31002020121122101012011210001102
4302231033023210301013200
5213212303013043322144
62110145501245053532
764655004350654300
oct6255171344610740
91066548335153042
10223011002323424
1165070486a21537
12210190395572a8
139758b02631853
143d0db0c091600
151abb064516b4e
hexcad3cb9311e0

223011002323424 has 72 divisors (see below), whose sum is σ = 510812204447160. Its totient is φ = 95561699740416.

The previous prime is 223011002323367. The next prime is 223011002323427. The reversal of 223011002323424 is 424323200110322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223011002323427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365207 + ... + 21122390.

It is an arithmetic number, because the mean of its divisors is an integer number (7094613950655).

Almost surely, 2223011002323424 is an apocalyptic number.

It is an amenable number.

223011002323424 is an abundant number, since it is smaller than the sum of its proper divisors (287801202123736).

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

223011002323424 is a wasteful number, since it uses less digits than its factorization.

223011002323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21494240 (or 21494225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 223011002323424 its reverse (424323200110322), we get a palindrome (647334202433746).

The spelling of 223011002323424 in words is "two hundred twenty-three trillion, eleven billion, two million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 6619 13238 26476 46333 52952 92666 105904 185332 211808 324331 370664 648662 741328 1297324 1482656 2594648 5189296 10378592 21487597 42975194 85950388 150413179 171900776 300826358 343801552 601652716 687603104 1052892253 1203305432 2105784506 2406610864 4211569012 4813221728 8423138024 16846276048 33692552096 142226404543 284452809086 568905618172 995584831801 1137811236344 1991169663602 2275622472688 3982339327204 4551244945376 6969093822607 7964678654408 13938187645214 15929357308816 27876375290428 31858714617632 55752750580856 111505501161712 223011002323424