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21922814306420 = 2251096140715321
BaseRepresentation
bin1001111110000010011011…
…00011110010100001110100
32212121210121121210212020222
410333001031203302201310
510333140410430301140
6114343111333513512
74421604526660226
oct477011543624164
985553547725228
1021922814306420
116a92460170915
1225609561a2898
13c3040a7ac271
1455b0d9a3c416
152803e19a85b5
hex13f04d8f2874

21922814306420 has 12 divisors (see below), whose sum is σ = 46037910043524. Its totient is φ = 8769125722560.

The previous prime is 21922814306399. The next prime is 21922814306429. The reversal of 21922814306420 is 2460341822912.

It can be written as a sum of positive squares in 2 ways, for example, as 5293284909796 + 16629529396624 = 2300714^2 + 4077932^2 .

It is a super-2 number, since 2×219228143064202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21922814306429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548070357641 + ... + 548070357680.

It is an arithmetic number, because the mean of its divisors is an integer number (3836492503627).

Almost surely, 221922814306420 is an apocalyptic number.

21922814306420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21922814306420 is an abundant number, since it is smaller than the sum of its proper divisors (24115095737104).

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

21922814306420 is a wasteful number, since it uses less digits than its factorization.

21922814306420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096140715330 (or 1096140715328 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 21922814306420 in words is "twenty-one trillion, nine hundred twenty-two billion, eight hundred fourteen million, three hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1096140715321 2192281430642 4384562861284 5480703576605 10961407153210 21922814306420