Search a number
-
+
10225845 = 34573607
BaseRepresentation
bin100111000000…
…100010110101
3201020112020000
4213000202311
510104211340
61003101513
7152626650
oct47004265
921215200
1010225845
115854913
123511899
1321705c6
141502897
15d6ed30
hex9c08b5

10225845 has 40 divisors (see below), whose sum is σ = 20955264. Its totient is φ = 4673376.

The previous prime is 10225843. The next prime is 10225867. The reversal of 10225845 is 54852201.

It is a happy number.

It is not a de Polignac number, because 10225845 - 21 = 10225843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1032 + ... + 4638.

Almost surely, 210225845 is an apocalyptic number.

10225845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10225845 is an abundant number, since it is smaller than the sum of its proper divisors (10729419).

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

10225845 is an equidigital number, since it uses as much as digits as its factorization.

10225845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 10225845 is about 3197.7875163932. The cubic root of 10225845 is about 217.0533043820.

The spelling of 10225845 in words is "ten million, two hundred twenty-five thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 3607 10821 18035 25249 32463 54105 75747 97389 126245 162315 227241 292167 378735 486945 681723 1136205 1460835 2045169 3408615 10225845