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21124434222 = 23231592113041
BaseRepresentation
bin10011101011000111…
…010100100100101110
32000112012100110000200
4103223013110210232
5321230323343342
613412053534330
71345324504533
oct235307244456
960465313020
1021124434222
118a60213101
1241166443a6
131cb8632128
141045784d8a
1583982b94c
hex4eb1d492e

21124434222 has 96 divisors (see below), whose sum is σ = 48290411520. Its totient is φ = 6664896000.

The previous prime is 21124434217. The next prime is 21124434229. The reversal of 21124434222 is 22243442112.

It is a happy number.

21124434222 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 4 + 434 + 222 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124434229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6945022 + ... + 6948062.

It is an arithmetic number, because the mean of its divisors is an integer number (503025120).

Almost surely, 221124434222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21124434222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24145205760).

21124434222 is an abundant number, since it is smaller than the sum of its proper divisors (27165977298).

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

21124434222 is a wasteful number, since it uses less digits than its factorization.

21124434222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3347 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 21124434222 its reverse (22243442112), we get a palindrome (43367876334).

The spelling of 21124434222 in words is "twenty-one billion, one hundred twenty-four million, four hundred thirty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 59 62 93 118 177 186 211 279 354 422 531 558 633 1062 1266 1829 1899 3041 3658 3798 5487 6082 6541 9123 10974 12449 13082 16461 18246 19623 24898 27369 32922 37347 39246 54738 58869 74694 94271 112041 117738 179419 188542 224082 282813 358838 385919 538257 565626 641651 771838 848439 1076514 1157757 1283302 1614771 1696878 1924953 2315514 3229542 3473271 3849906 5561989 5774859 6946542 11123978 11549718 16685967 19891181 33371934 37857409 39782362 50057901 59673543 75714818 100115802 113572227 119347086 179020629 227144454 340716681 358041258 681433362 1173579679 2347159358 3520739037 7041478074 10562217111 21124434222