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21224064 = 273192909
BaseRepresentation
bin101000011110…
…1101010000000
31110221021221110
41100331222000
520413132224
62034523320
7345254511
oct120755200
943837843
1021224064
1110a86a54
127136540
134521624
142b66a08
151ce3929
hex143da80

21224064 has 64 divisors (see below), whose sum is σ = 59364000. Its totient is φ = 6700032.

The previous prime is 21224053. The next prime is 21224081. The reversal of 21224064 is 46042212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21224064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5842 + ... + 8750.

Almost surely, 221224064 is an apocalyptic number.

21224064 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 21224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29682000).

21224064 is an abundant number, since it is smaller than the sum of its proper divisors (38139936).

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

21224064 is a wasteful number, since it uses less digits than its factorization.

21224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 21224064 is about 4606.9582155691. The cubic root of 21224064 is about 276.8701794499.

Adding to 21224064 its reverse (46042212), we get a palindrome (67266276).

The spelling of 21224064 in words is "twenty-one million, two hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2909 3648 5818 7296 8727 11636 17454 23272 34908 46544 55271 69816 93088 110542 139632 165813 186176 221084 279264 331626 372352 442168 558528 663252 884336 1117056 1326504 1768672 2653008 3537344 5306016 7074688 10612032 21224064