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21225238704 = 243471251919
BaseRepresentation
bin10011110001000111…
…110111000010110000
32000210020000211210000
4103301013313002300
5321432130114304
613430054310000
71350660360255
oct236107670260
960706024700
1021225238704
119002103a9a
124144358300
132003497b57
141054d0542c
158435de939
hex4f11f70b0

21225238704 has 200 divisors, whose sum is σ = 62613492480. Its totient is φ = 6940080000.

The previous prime is 21225238679. The next prime is 21225238717. The reversal of 21225238704 is 40783252212.

21225238704 is a `hidden beast` number, since 2 + 122 + 523 + 8 + 7 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23095557 + ... + 23096475.

Almost surely, 221225238704 is an apocalyptic number.

21225238704 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 21225238704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31306746240).

21225238704 is an abundant number, since it is smaller than the sum of its proper divisors (41388253776).

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

21225238704 is a wasteful number, since it uses less digits than its factorization.

21225238704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 21225238704 in words is "twenty-one billion, two hundred twenty-five million, two hundred thirty-eight thousand, seven hundred four".