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21226368 = 273167331
BaseRepresentation
bin101000011111…
…0001110000000
31110221102002210
41100332032000
520413220433
62034542120
7345264312
oct120761600
943842083
1021226368
1110a88759
127137940
1345226a7
142b677b2
151ce4463
hex143e380

21226368 has 64 divisors (see below), whose sum is σ = 56891520. Its totient is φ = 7011840.

The previous prime is 21226367. The next prime is 21226379. The reversal of 21226368 is 86362212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21226367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63963 + ... + 64293.

It is an arithmetic number, because the mean of its divisors is an integer number (888930).

Almost surely, 221226368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28445760).

21226368 is an abundant number, since it is smaller than the sum of its proper divisors (35665152).

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

21226368 is a wasteful number, since it uses less digits than its factorization.

21226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 21226368 is about 4607.2082653164. The cubic root of 21226368 is about 276.8801977293.

The spelling of 21226368 in words is "twenty-one million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 331 334 384 501 662 668 993 1002 1324 1336 1986 2004 2648 2672 3972 4008 5296 5344 7944 8016 10592 10688 15888 16032 21184 21376 31776 32064 42368 55277 63552 64128 110554 127104 165831 221108 331662 442216 663324 884432 1326648 1768864 2653296 3537728 5306592 7075456 10613184 21226368