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10220096 = 262353131
BaseRepresentation
bin100110111111…
…001001000000
3201020020100002
4212333021000
510104020341
61003015132
7152604125
oct46771100
921206302
1010220096
115850567
12350a4a8
13216aac3
14150074c
15d6d29b
hex9bf240

10220096 has 56 divisors (see below), whose sum is σ = 21726144. Its totient is φ = 4759040.

The previous prime is 10220083. The next prime is 10220101. The reversal of 10220096 is 69002201.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77951 + ... + 78081.

Almost surely, 210220096 is an apocalyptic number.

10220096 is a gapful number since it is divisible by the number (16) 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 10220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863072).

10220096 is an abundant number, since it is smaller than the sum of its proper divisors (11506048).

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

10220096 is a wasteful number, since it uses less digits than its factorization.

10220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10220096 is about 3196.8884872638. Note that the first 3 decimals coincide. The cubic root of 10220096 is about 217.0126207558.

Adding to 10220096 its reverse (69002201), we get a palindrome (79222297).

The spelling of 10220096 in words is "ten million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 131 184 212 262 368 424 524 736 848 1048 1219 1472 1696 2096 2438 3013 3392 4192 4876 6026 6943 8384 9752 12052 13886 19504 24104 27772 39008 48208 55544 78016 96416 111088 159689 192832 222176 319378 444352 638756 1277512 2555024 5110048 10220096