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10223262 = 2327267173
BaseRepresentation
bin100110111111…
…111010011110
3201020101200100
4212333322132
510104121022
61003041530
7152616300
oct46777236
921211610
1010223262
115852985
1235102a6
13216c38a
141501970
15d6e1ac
hex9bfe9e

10223262 has 72 divisors (see below), whose sum is σ = 26302536. Its totient is φ = 2860704.

The previous prime is 10223261. The next prime is 10223267. The reversal of 10223262 is 26232201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59008 + ... + 59180.

It is an arithmetic number, because the mean of its divisors is an integer number (365313).

Almost surely, 210223262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151268).

10223262 is an abundant number, since it is smaller than the sum of its proper divisors (16079274).

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

10223262 is a wasteful number, since it uses less digits than its factorization.

10223262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10223262 is about 3197.3836178976. The cubic root of 10223262 is about 217.0350272975.

Adding to 10223262 its reverse (26232201), we get a palindrome (36455463).

The spelling of 10223262 in words is "ten million, two hundred twenty-three thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 173 201 294 346 402 441 469 519 603 882 938 1038 1206 1211 1407 1557 2422 2814 3114 3283 3633 4221 6566 7266 8442 8477 9849 10899 11591 16954 19698 21798 23182 25431 29547 34773 50862 59094 69546 76293 81137 104319 152586 162274 208638 243411 486822 567959 730233 1135918 1460466 1703877 3407754 5111631 10223262