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10223406 = 23219167179
BaseRepresentation
bin100110111111…
…111100101110
3201020101212200
4212333330232
510104122111
61003042330
7152616564
oct46777456
921211780
1010223406
115852aa6
1235103a6
13216c46b
141501a34
15d6e256
hex9bff2e

10223406 has 48 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 3191184.

The previous prime is 10223401. The next prime is 10223413. The reversal of 10223406 is 60432201.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223401) 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 23 ways as a sum of consecutive naturals, for example, 57025 + ... + 57203.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 210223406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

10223406 is an abundant number, since it is smaller than the sum of its proper divisors (13363794).

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

10223406 is a wasteful number, since it uses less digits than its factorization.

10223406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 370 counting only the distinct ones).

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

The square root of 10223406 is about 3197.4061362298. The cubic root of 10223406 is about 217.0360463101.

Adding to 10223406 its reverse (60432201), we get a palindrome (70655607).

The spelling of 10223406 in words is "ten million, two hundred twenty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 179 334 342 358 501 537 1002 1074 1503 1611 3006 3173 3222 3401 6346 6802 9519 10203 19038 20406 28557 29893 30609 57114 59786 61218 89679 179358 269037 538074 567967 1135934 1703901 3407802 5111703 10223406