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21222451224 = 23331353142601
BaseRepresentation
bin10011110000111101…
…001110100000011000
32000210000210020002000
4103300331032200120
5321430421414344
613425514441000
71350624600432
oct236075164030
960700706060
1021222451224
11900057a797
124143433160
132002a30160
1410547bb652
1584323da69
hex4f0f4e818

21222451224 has 128 divisors (see below), whose sum is σ = 64684267200. Its totient is φ = 6406732800.

The previous prime is 21222451193. The next prime is 21222451241. The reversal of 21222451224 is 42215422212.

21222451224 is a `hidden beast` number, since 2 + 122 + 2 + 4 + 512 + 24 = 666.

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

It is a congruent number.

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, 77524 + ... + 220124.

Almost surely, 221222451224 is an apocalyptic number.

21222451224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222451224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32342133600).

21222451224 is an abundant number, since it is smaller than the sum of its proper divisors (43461815976).

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

21222451224 is a wasteful number, since it uses less digits than its factorization.

21222451224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142682 (or 142672 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

Adding to 21222451224 its reverse (42215422212), we get a palindrome (63437873436).

The spelling of 21222451224 in words is "twenty-one billion, two hundred twenty-two million, four hundred fifty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 156 159 212 216 234 312 318 351 424 468 477 636 689 702 936 954 1272 1378 1404 1431 1908 2067 2756 2808 2862 3816 4134 5512 5724 6201 8268 11448 12402 16536 18603 24804 37206 49608 74412 142601 148824 285202 427803 570404 855606 1140808 1283409 1711212 1853813 2566818 3422424 3707626 3850227 5133636 5561439 7415252 7557853 7700454 10267272 11122878 14830504 15115706 15400908 16684317 22245756 22673559 30231412 30801816 33368634 44491512 45347118 50052951 60462824 66737268 68020677 90694236 98252089 100105902 133474536 136041354 181388472 196504178 200211804 204062031 272082708 294756267 393008356 400423608 408124062 544165416 589512534 786016712 816248124 884268801 1179025068 1632496248 1768537602 2358050136 2652806403 3537075204 5305612806 7074150408 10611225612 21222451224