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21226423680 = 2733572114353
BaseRepresentation
bin10011110001001100…
…011000010110000000
32000210022021001021000
4103301030120112000
5321432431024210
613430135532000
71351003424100
oct236114302600
960708231230
1021226423680
119002843310
12414482a000
1320037c1317
141055133200
15843775ac0
hex4f1318580

21226423680 has 1536 divisors, whose sum is σ = 99461260800. Its totient is φ = 4226826240.

The previous prime is 21226423661. The next prime is 21226423697. The reversal of 21226423680 is 8632462212.

21226423680 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 642 + 3 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×212264236802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 400498534 + ... + 400498586.

It is an arithmetic number, because the mean of its divisors is an integer number (64753425).

Almost surely, 221226423680 is an apocalyptic number.

21226423680 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 21226423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49730630400).

21226423680 is an abundant number, since it is smaller than the sum of its proper divisors (78234837120).

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

21226423680 is a wasteful number, since it uses less digits than its factorization.

21226423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 21226423680 its reverse (8632462212), we get a palindrome (29858885892).

The spelling of 21226423680 in words is "twenty-one billion, two hundred twenty-six million, four hundred twenty-three thousand, six hundred eighty".