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21227380944 = 24373111931199
BaseRepresentation
bin10011110001010000…
…000010000011010000
32000210101001200101020
4103301100002003100
5321433202142234
613430212235440
71351014522000
oct236120020320
960711050336
1021227380944
119003337540
12414500bb80
132003a67c53
141055302000
158438b4549
hex4f14020d0

21227380944 has 640 divisors, whose sum is σ = 76185600000. Its totient is φ = 5029516800.

The previous prime is 21227380897. The next prime is 21227380981. The reversal of 21227380944 is 44908372212.

It is a super-2 number, since 2×212273809442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21227380896 and 21227380905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106670157 + ... + 106670355.

It is an arithmetic number, because the mean of its divisors is an integer number (119040000).

Almost surely, 221227380944 is an apocalyptic number.

21227380944 is a gapful number since it is divisible by the number (24) 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 21227380944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38092800000).

21227380944 is an abundant number, since it is smaller than the sum of its proper divisors (54958219056).

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

21227380944 is a wasteful number, since it uses less digits than its factorization.

21227380944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 21227380944 in words is "twenty-one billion, two hundred twenty-seven million, three hundred eighty thousand, nine hundred forty-four".