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10224234 = 2323173251
BaseRepresentation
bin100111000000…
…001001101010
3201020110000100
4213000021222
510104133414
61003050230
7152622156
oct47001152
921213010
1010224234
115853689
123510976
13216c957
141502066
15d6e609
hex9c026a

10224234 has 48 divisors (see below), whose sum is σ = 23272704. Its totient is φ = 3240000.

The previous prime is 10224233. The next prime is 10224281. The reversal of 10224234 is 43242201.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10224233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40609 + ... + 40859.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 210224234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636352).

10224234 is an abundant number, since it is smaller than the sum of its proper divisors (13048470).

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

10224234 is a wasteful number, since it uses less digits than its factorization.

10224234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10224234 is about 3197.5356135624. The cubic root of 10224234 is about 217.0419054466.

Adding to 10224234 its reverse (43242201), we get a palindrome (53466435).

It can be divided in two parts, 102 and 24234, that added together give a square (24336 = 1562).

The spelling of 10224234 in words is "ten million, two hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 73 93 146 186 219 251 279 438 502 558 657 753 1314 1506 2259 2263 4518 4526 6789 7781 13578 15562 18323 20367 23343 36646 40734 46686 54969 70029 109938 140058 164907 329814 568013 1136026 1704039 3408078 5112117 10224234