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21222213324 = 223131910170891
BaseRepresentation
bin10011110000111100…
…010100011011001100
32000210000100010201220
4103300330110123030
5321430341311244
613425505403340
71350622560024
oct236074243314
960700303656
1021222213324
119000427a84
124143339550
132002978aa0
141054758a84
158431e3319
hex4f0f146cc

21222213324 has 96 divisors (see below), whose sum is σ = 56690914560. Its totient is φ = 6124896000.

The previous prime is 21222213293. The next prime is 21222213373. The reversal of 21222213324 is 42331222212.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21222213294 and 21222213303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263919 + ... + 334809.

It is an arithmetic number, because the mean of its divisors is an integer number (590530360).

Almost surely, 221222213324 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 21222213324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28345457280).

21222213324 is an abundant number, since it is smaller than the sum of its proper divisors (35468701236).

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

21222213324 is a wasteful number, since it uses less digits than its factorization.

21222213324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71031 (or 71029 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 21222213324 its reverse (42331222212), we get a palindrome (63553435536).

The spelling of 21222213324 in words is "twenty-one billion, two hundred twenty-two million, two hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 101 114 156 202 228 247 303 404 494 606 741 988 1212 1313 1482 1919 2626 2964 3838 3939 5252 5757 7676 7878 11514 15756 23028 24947 49894 70891 74841 99788 141782 149682 212673 283564 299364 425346 850692 921583 1346929 1843166 2693858 2764749 3686332 4040787 5387716 5529498 7159991 8081574 11058996 14319982 16163148 17510077 21479973 28639964 35020154 42959946 52530231 70040308 85919892 93079883 105060462 136039829 186159766 210120924 272079658 279239649 372319532 408119487 544159316 558479298 816238974 1116958596 1632477948 1768517777 3537035554 5305553331 7074071108 10611106662 21222213324