Search a number
-
+
21224560032 = 2533131889651
BaseRepresentation
bin10011110001000101…
…010001010110100000
32000210011202100211000
4103301011101112200
5321431441410112
613430031552000
71350651532524
oct236105212640
960704670730
1021224560032
119001790105
12414408b600
1320032bac80
141054ba9d84
158435087dc
hex4f11515a0

21224560032 has 96 divisors (see below), whose sum is σ = 66666922560. Its totient is φ = 6530630400.

The previous prime is 21224560031. The next prime is 21224560051. The reversal of 21224560032 is 23006542212.

It is a happy number.

21224560032 is a `hidden beast` number, since 2 + 1 + 2 + 24 + 5 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21224559978 and 21224560005.

It is not an unprimeable number, because it can be changed into a prime (21224560031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933594 + ... + 956057.

It is an arithmetic number, because the mean of its divisors is an integer number (694447110).

Almost surely, 221224560032 is an apocalyptic number.

It is an amenable number.

21224560032 is an abundant number, since it is smaller than the sum of its proper divisors (45442362528).

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

21224560032 is a wasteful number, since it uses less digits than its factorization.

21224560032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889683 (or 1889669 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 21224560032 in words is "twenty-one billion, two hundred twenty-four million, five hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 1889651 3779302 5668953 7558604 11337906 15117208 17006859 22675812 24565463 30234416 34013718 45351624 49130926 51020577 60468832 68027436 73696389 90703248 98261852 102041154 136054872 147392778 181406496 196523704 204082308 221089167 272109744 294785556 393047408 408164616 442178334 544219488 589571112 663267501 786094816 816329232 884356668 1179142224 1326535002 1632658464 1768713336 2358284448 2653070004 3537426672 5306140008 7074853344 10612280016 21224560032