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21232211460 = 22354718794007
BaseRepresentation
bin10011110001100010…
…011101011000000100
32000210201011002121020
4103301202131120010
5321440421231320
613430503551140
71351103551065
oct236142353004
960721132536
1021232211460
1190060367a9
12414675b4b0
132004a69845
141055bdc56c
1584401a940
hex4f189d604

21232211460 has 96 divisors (see below), whose sum is σ = 60762562560. Its totient is φ = 5537125248.

The previous prime is 21232211459. The next prime is 21232211471. The reversal of 21232211460 is 6411223212.

It is a self number, because there is not a number n which added to its sum of digits gives 21232211460.

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, 5296777 + ... + 5300783.

It is an arithmetic number, because the mean of its divisors is an integer number (632943360).

Almost surely, 221232211460 is an apocalyptic number.

21232211460 is a gapful number since it is divisible by the number (20) 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 21232211460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30381281280).

21232211460 is an abundant number, since it is smaller than the sum of its proper divisors (39530351100).

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

21232211460 is a wasteful number, since it uses less digits than its factorization.

21232211460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21232211460 its reverse (6411223212), we get a palindrome (27643434672).

The spelling of 21232211460 in words is "twenty-one billion, two hundred thirty-two million, two hundred eleven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 1879 2820 3758 4007 5637 7516 8014 9395 11274 12021 16028 18790 20035 22548 24042 28185 37580 40070 48084 56370 60105 80140 88313 112740 120210 176626 188329 240420 264939 353252 376658 441565 529878 564987 753316 883130 941645 1059756 1129974 1324695 1766260 1883290 2259948 2649390 2824935 3766580 5298780 5649870 7529153 11299740 15058306 22587459 30116612 37645765 45174918 75291530 90349836 112937295 150583060 225874590 353870191 451749180 707740382 1061610573 1415480764 1769350955 2123221146 3538701910 4246442292 5308052865 7077403820 10616105730 21232211460