Search a number
-
+
10043200224 = 253261756519
BaseRepresentation
bin10010101101001111…
…10001001011100000
3221220221001102200200
421112213301023200
5131032024401344
64340324345200
7503610536061
oct112647611340
927827042620
1010043200224
114294140a82
121b43545200
13c40934835
146b3baa568
153dba93069
hex2569f12e0

10043200224 has 72 divisors (see below), whose sum is σ = 28607145840. Its totient is φ = 3342248448.

The previous prime is 10043200207. The next prime is 10043200229. The reversal of 10043200224 is 42200234001.

10043200224 is a `hidden beast` number, since 10 + 0 + 432 + 0 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10043200197 and 10043200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10043200229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149437 + ... + 205955.

It is an arithmetic number, because the mean of its divisors is an integer number (397321470).

Almost surely, 210043200224 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 10043200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303572920).

10043200224 is an abundant number, since it is smaller than the sum of its proper divisors (18563945616).

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

10043200224 is a wasteful number, since it uses less digits than its factorization.

10043200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57152 (or 57141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10043200224 its reverse (42200234001), we get a palindrome (52243434225).

The spelling of 10043200224 in words is "ten billion, forty-three million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 617 1234 1851 2468 3702 4936 5553 7404 9872 11106 14808 19744 22212 29616 44424 56519 59232 88848 113038 169557 177696 226076 339114 452152 508671 678228 904304 1017342 1356456 1808608 2034684 2712912 4069368 5425824 8138736 16277472 34872223 69744446 104616669 139488892 209233338 278977784 313850007 418466676 557955568 627700014 836933352 1115911136 1255400028 1673866704 2510800056 3347733408 5021600112 10043200224