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10221148 = 22717109197
BaseRepresentation
bin100110111111…
…011001011100
3201020021210001
4212333121130
510104034043
61003024044
7152610160
oct46773134
921207701
1010221148
115851333
12350b024
13216b422
141500ca0
15d6d74d
hex9bf65c

10221148 has 48 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 4064256.

The previous prime is 10221091. The next prime is 10221149. The reversal of 10221148 is 84112201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221149) 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, 51786 + ... + 51982.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 210221148 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 10221148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

10221148 is an abundant number, since it is smaller than the sum of its proper divisors (11733092).

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

10221148 is a wasteful number, since it uses less digits than its factorization.

10221148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10221148 is about 3197.0530180152. The cubic root of 10221148 is about 217.0200665255.

Adding to 10221148 its reverse (84112201), we get a palindrome (94333349).

The spelling of 10221148 in words is "ten million, two hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 109 119 197 218 238 394 436 476 763 788 1379 1526 1853 2758 3052 3349 3706 5516 6698 7412 12971 13396 21473 23443 25942 42946 46886 51884 85892 93772 150311 300622 365041 601244 730082 1460164 2555287 5110574 10221148