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21223728 = 243373673
BaseRepresentation
bin101000011110…
…1100100110000
31110221021111000
41100331210300
520413124403
62034522000
7345253521
oct120754460
943837430
1021223728
1110a86779
127136300
134521426
142b66848
151ce37a3
hex143d930

21223728 has 80 divisors (see below), whose sum is σ = 61846240. Its totient is φ = 6967296.

The previous prime is 21223723. The next prime is 21223739. The reversal of 21223728 is 82732212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21223723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31200 + ... + 31872.

It is an arithmetic number, because the mean of its divisors is an integer number (773078).

Almost surely, 221223728 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 21223728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30923120).

21223728 is an abundant number, since it is smaller than the sum of its proper divisors (40622512).

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

21223728 is a wasteful number, since it uses less digits than its factorization.

21223728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 21223728 is about 4606.9217488471. The cubic root of 21223728 is about 276.8687183902.

The spelling of 21223728 in words is "twenty-one million, two hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 673 876 1168 1314 1346 1752 1971 2019 2628 2692 3504 3942 4038 5256 5384 6057 7884 8076 10512 10768 12114 15768 16152 18171 24228 31536 32304 36342 48456 49129 72684 96912 98258 145368 147387 196516 290736 294774 393032 442161 589548 786064 884322 1179096 1326483 1768644 2358192 2652966 3537288 5305932 7074576 10611864 21223728