Search a number
-
+
21225312 = 253273699
BaseRepresentation
bin101000011110…
…1111101100000
31110221100122200
41100331331200
520413202222
62034533200
7345261243
oct120757540
943840580
1021225312
1110a87989
127137200
134522074
142b6725a
151ce3eac
hex143df60

21225312 has 36 divisors (see below), whose sum is σ = 60360300. Its totient is φ = 7075008.

The previous prime is 21225311. The next prime is 21225317. The reversal of 21225312 is 21352212.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21225311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36562 + ... + 37137.

It is an arithmetic number, because the mean of its divisors is an integer number (1676675).

Almost surely, 221225312 is an apocalyptic number.

It is an amenable number.

21225312 is an abundant number, since it is smaller than the sum of its proper divisors (39134988).

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

21225312 is a wasteful number, since it uses less digits than its factorization.

21225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73715 (or 73704 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 21225312 is about 4607.0936608669. The cubic root of 21225312 is about 276.8756061079.

Adding to 21225312 its reverse (21352212), we get a palindrome (42577524).

The spelling of 21225312 in words is "twenty-one million, two hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 73699 147398 221097 294796 442194 589592 663291 884388 1179184 1326582 1768776 2358368 2653164 3537552 5306328 7075104 10612656 21225312