Search a number
-
+
21212404422 = 231119103164231
BaseRepresentation
bin10011110000010110…
…111001101011000110
32000202022212210110020
4103300112321223012
5321420333420142
613424515240010
71350443314446
oct236026715306
960668783406
1021212404422
118aa5938450
12413bba9006
1320009231c1
141053324126
15842406cec
hex4f05b9ac6

21212404422 has 64 divisors (see below), whose sum is σ = 49190768640. Its totient is φ = 6030525600.

The previous prime is 21212404387. The next prime is 21212404427. The reversal of 21212404422 is 22440421212.

It is a happy number.

It is a super-2 number, since 2×212124044222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21212404392 and 21212404401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212404427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47047 + ... + 211277.

It is an arithmetic number, because the mean of its divisors is an integer number (768605760).

Almost surely, 221212404422 is an apocalyptic number.

21212404422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212404422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24595384320).

21212404422 is an abundant number, since it is smaller than the sum of its proper divisors (27978364218).

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

21212404422 is a wasteful number, since it uses less digits than its factorization.

21212404422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164369.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21212404422 its reverse (22440421212), we get a palindrome (43652825634).

The spelling of 21212404422 in words is "twenty-one billion, two hundred twelve million, four hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 103 114 206 209 309 418 618 627 1133 1254 1957 2266 3399 3914 5871 6798 11742 21527 43054 64581 129162 164231 328462 492693 985386 1806541 3120389 3613082 5419623 6240778 9361167 10839246 16915793 18722334 33831586 34324279 50747379 68648558 101494758 102972837 186073723 205945674 321400067 372147446 558221169 642800134 964200201 1116442338 1928400402 3535400737 7070801474 10606202211 21212404422