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10220644 = 2272941307
BaseRepresentation
bin100110111111…
…010001100100
3201020021002101
4212333101210
510104030034
61003021444
7152605540
oct46772144
921207071
1010220644
115850a15
12350a884
13216b125
141500a20
15d6d514
hex9bf464

10220644 has 48 divisors (see below), whose sum is σ = 21732480. Its totient is φ = 4112640.

The previous prime is 10220597. The next prime is 10220647. The reversal of 10220644 is 44602201.

It is not an unprimeable number, because it can be changed into a prime (10220647) 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 15 ways as a sum of consecutive naturals, for example, 33139 + ... + 33445.

It is an arithmetic number, because the mean of its divisors is an integer number (452760).

Almost surely, 210220644 is an apocalyptic number.

10220644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866240).

10220644 is an abundant number, since it is smaller than the sum of its proper divisors (11511836).

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

10220644 is a wasteful number, since it uses less digits than its factorization.

10220644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10220644 is about 3196.9741944532. The cubic root of 10220644 is about 217.0164994144.

Adding to 10220644 its reverse (44602201), we get a palindrome (54822845).

The spelling of 10220644 in words is "ten million, two hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 29 41 58 82 116 164 203 287 307 406 574 614 812 1148 1189 1228 2149 2378 4298 4756 8323 8596 8903 12587 16646 17806 25174 33292 35612 50348 62321 88109 124642 176218 249284 352436 365023 730046 1460092 2555161 5110322 10220644