Search a number
-
+
10221440 = 27515971
BaseRepresentation
bin100110111111…
…011110000000
3201020022011212
4212333132000
510104041230
61003025252
7152611055
oct46773600
921208155
1010221440
115851579
12350b228
13216b5b8
14150102c
15d6d895
hex9bf780

10221440 has 32 divisors (see below), whose sum is σ = 24437160. Its totient is φ = 4088320.

The previous prime is 10221397. The next prime is 10221443. The reversal of 10221440 is 4412201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221443) 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 3 ways as a sum of consecutive naturals, for example, 7346 + ... + 8625.

Almost surely, 210221440 is an apocalyptic number.

10221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221440 is an abundant number, since it is smaller than the sum of its proper divisors (14215720).

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

10221440 is an equidigital number, since it uses as much as digits as its factorization.

10221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15990 (or 15978 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10221440 is about 3197.0986847453. The cubic root of 10221440 is about 217.0221331314.

Adding to 10221440 its reverse (4412201), we get a palindrome (14633641).

The spelling of 10221440 in words is "ten million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 15971 31942 63884 79855 127768 159710 255536 319420 511072 638840 1022144 1277680 2044288 2555360 5110720 10221440