Search a number
-
+
223533024064 = 2676719493821
BaseRepresentation
bin1101000000101110011…
…0110100001101000000
3210100222101211011122021
43100023212310031000
512130243423232224
6250404544251224
722102233232420
oct3201346641500
9710871734567
10223533024064
1186888623519
12373a4910b14
131810495699c
14ab676c0480
155c344721e4
hex340b9b4340

223533024064 has 112 divisors (see below), whose sum is σ = 514905955200. Its totient is φ = 94296913920.

The previous prime is 223533024053. The next prime is 223533024119. The reversal of 223533024064 is 460420335322.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58499274 + ... + 58503094.

It is an arithmetic number, because the mean of its divisors is an integer number (4597374600).

Almost surely, 2223533024064 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 223533024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257452977600).

223533024064 is an abundant number, since it is smaller than the sum of its proper divisors (291372931136).

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

223533024064 is a wasteful number, since it uses less digits than its factorization.

223533024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 223533024064 its reverse (460420335322), we get a palindrome (683953359386).

The spelling of 223533024064 in words is "two hundred twenty-three billion, five hundred thirty-three million, twenty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 938 1072 1876 1949 2144 3752 3821 3898 4288 7504 7642 7796 13643 15008 15284 15592 26747 27286 30016 30568 31184 53494 54572 61136 62368 106988 109144 122272 124736 130583 213976 218288 244544 256007 261166 427952 436576 512014 522332 855904 873152 914081 1024028 1044664 1711808 1792049 1828162 2048056 2089328 3584098 3656324 4096112 4178656 7168196 7312648 7447129 8192224 8357312 14336392 14625296 14894258 16384448 28672784 29250592 29788516 52129903 57345568 58501184 59577032 104259806 114691136 119154064 208519612 238308128 417039224 476616256 498957643 834078448 997915286 1668156896 1995830572 3336313792 3492703501 3991661144 6985407002 7983322288 13970814004 15966644576 27941628008 31933289152 55883256016 111766512032 223533024064