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21222312021984 = 2531861118788689
BaseRepresentation
bin1001101001101001101000…
…10111101000111111100000
32210010211111102011202210210
410310310310113220333200
510240201243334200414
6113045221234454120
74320155450543463
oct464646427507740
983124442152723
1021222312021984
116842371965517
122469039434340
13bac34226a4c8
14535245b492da
1526c093785e59
hex134d345e8fe0

21222312021984 has 48 divisors (see below), whose sum is σ = 55738504276560. Its totient is φ = 7070302709760.

The previous prime is 21222312021971. The next prime is 21222312022007. The reversal of 21222312021984 is 48912021322212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×212223120219842 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59215689 + ... + 59573000.

It is an arithmetic number, because the mean of its divisors is an integer number (1161218839095).

Almost surely, 221222312021984 is an apocalyptic number.

21222312021984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21222312021984 is an abundant number, since it is smaller than the sum of its proper divisors (34516192254576).

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

21222312021984 is a wasteful number, since it uses less digits than its factorization.

21222312021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118790563 (or 118790555 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 21222312021984 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred twelve million, twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1861 3722 5583 7444 11166 14888 22332 29776 44664 59552 89328 178656 118788689 237577378 356366067 475154756 712732134 950309512 1425464268 1900619024 2850928536 3801238048 5701857072 11403714144 221065750229 442131500458 663197250687 884263000916 1326394501374 1768526001832 2652789002748 3537052003664 5305578005496 7074104007328 10611156010992 21222312021984