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10221444 = 2233314371
BaseRepresentation
bin100110111111…
…011110000100
3201020022012000
4212333132010
510104041234
61003025300
7152611062
oct46773604
921208160
1010221444
115851582
12350b230
13216b5bc
141501032
15d6d899
hex9bf784

10221444 has 96 divisors (see below), whose sum is σ = 28385280. Its totient is φ = 3175200.

The previous prime is 10221443. The next prime is 10221457. The reversal of 10221444 is 44412201.

10221444 is a `hidden beast` number, since 1 + 0 + 221 + 444 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10221443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143929 + ... + 143999.

It is an arithmetic number, because the mean of its divisors is an integer number (295680).

Almost surely, 210221444 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 10221444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192640).

10221444 is an abundant number, since it is smaller than the sum of its proper divisors (18163836).

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

10221444 is a wasteful number, since it uses less digits than its factorization.

10221444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10221444 is about 3197.0993103124. The cubic root of 10221444 is about 217.0221614408.

Adding to 10221444 its reverse (44412201), we get a palindrome (54633645).

The spelling of 10221444 in words is "ten million, two hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 43 54 62 71 86 93 108 124 129 142 172 186 213 258 279 284 372 387 426 516 558 639 774 837 852 1116 1161 1278 1333 1548 1674 1917 2201 2322 2556 2666 3053 3348 3834 3999 4402 4644 5332 6106 6603 7668 7998 8804 9159 11997 12212 13206 15996 18318 19809 23994 26412 27477 35991 36636 39618 47988 54954 59427 71982 79236 82431 94643 109908 118854 143964 164862 189286 237708 283929 329724 378572 567858 851787 1135716 1703574 2555361 3407148 5110722 10221444