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10225432 = 2371723467
BaseRepresentation
bin100111000000…
…011100011000
3201020111122201
4213000130120
510104203212
61003055544
7152625520
oct47003430
921214581
1010225432
115854578
1235115b4
132170369
141502680
15d6eb57
hex9c0718

10225432 has 64 divisors (see below), whose sum is σ = 24261120. Its totient is φ = 3936768.

The previous prime is 10225427. The next prime is 10225433. The reversal of 10225432 is 23452201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21663 + ... + 22129.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 210225432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130560).

10225432 is an abundant number, since it is smaller than the sum of its proper divisors (14035688).

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

10225432 is a wasteful number, since it uses less digits than its factorization.

10225432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 10225432 is about 3197.7229398433. The cubic root of 10225432 is about 217.0503822364.

Adding to 10225432 its reverse (23452201), we get a palindrome (33677633).

The spelling of 10225432 in words is "ten million, two hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 322 391 467 476 644 782 934 952 1288 1564 1868 2737 3128 3269 3736 5474 6538 7939 10741 10948 13076 15878 21482 21896 26152 31756 42964 55573 63512 75187 85928 111146 150374 182597 222292 300748 365194 444584 601496 730388 1278179 1460776 2556358 5112716 10225432