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21214248 = 23311107751
BaseRepresentation
bin101000011101…
…1010000101000
31110220210110220
41100323100220
520412323443
62034410040
7345214056
oct120732050
943823426
1021214248
1110a7a640
127130920
13451a013
142b631d6
151ce0a83
hex143b428

21214248 has 64 divisors (see below), whose sum is σ = 58475520. Its totient is φ = 6360000.

The previous prime is 21214247. The next prime is 21214253. The reversal of 21214248 is 84241212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (21214247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27873 + ... + 28623.

It is an arithmetic number, because the mean of its divisors is an integer number (913680).

Almost surely, 221214248 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 21214248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29237760).

21214248 is an abundant number, since it is smaller than the sum of its proper divisors (37261272).

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

21214248 is a wasteful number, since it uses less digits than its factorization.

21214248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 21214248 is about 4605.8927473401. The cubic root of 21214248 is about 276.8274892788.

The spelling of 21214248 in words is "twenty-one million, two hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 132 214 264 321 428 642 751 856 1177 1284 1502 2253 2354 2568 3004 3531 4506 4708 6008 7062 8261 9012 9416 14124 16522 18024 24783 28248 33044 49566 66088 80357 99132 160714 198264 241071 321428 482142 642856 883927 964284 1767854 1928568 2651781 3535708 5303562 7071416 10607124 21214248