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21227063040 = 283356110069
BaseRepresentation
bin10011110001001110…
…110100011100000000
32000210100110112022000
4103301032310130000
5321433112004130
613430201344000
71351012026111
oct236116643400
960710415260
1021227063040
11900313a707
124144a98000
132003986341
14105525c208
15843850260
hex4f13b4700

21227063040 has 288 divisors, whose sum is σ = 76569057600. Its totient is φ = 5567201280.

The previous prime is 21227063029. The next prime is 21227063051. The reversal of 21227063040 is 4036072212.

21227063040 is a `hidden beast` number, since 2 + 1 + 2 + 27 + 0 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21227063029) and next prime (21227063051).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21227062995 and 21227063013.

It is a congruent number.

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, 2103126 + ... + 2113194.

Almost surely, 221227063040 is an apocalyptic number.

21227063040 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 21227063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38284528800).

21227063040 is an abundant number, since it is smaller than the sum of its proper divisors (55341994560).

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

21227063040 is a wasteful number, since it uses less digits than its factorization.

21227063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 21227063040 in words is "twenty-one billion, two hundred twenty-seven million, sixty-three thousand, forty".