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10220320 = 255115807
BaseRepresentation
bin100110111111…
…001100100000
3201020020122101
4212333030200
510104022240
61003020144
7152604565
oct46771440
921206571
1010220320
115850750
12350a654
13216ac36
14150086c
15d6d39a
hex9bf320

10220320 has 48 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 3715840.

The previous prime is 10220311. The next prime is 10220323. The reversal of 10220320 is 2302201.

10220320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10220297 and 10220306.

It is not an unprimeable number, because it can be changed into a prime (10220323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1144 + ... + 4663.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 210220320 is an apocalyptic number.

10220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220320 is an abundant number, since it is smaller than the sum of its proper divisors (16124768).

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

10220320 is a wasteful number, since it uses less digits than its factorization.

10220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10220320 is about 3196.9235211372. The cubic root of 10220320 is about 217.0142062096.

Adding to 10220320 its reverse (2302201), we get a palindrome (12522521).

The spelling of 10220320 in words is "ten million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5807 11614 23228 29035 46456 58070 63877 92912 116140 127754 185824 232280 255508 319385 464560 511016 638770 929120 1022032 1277540 2044064 2555080 5110160 10220320