[go: up one dir, main page]

Search a number
-
+
10225296 = 2432174177
BaseRepresentation
bin100111000000…
…011010010000
3201020111110200
4213000122100
510104202141
61003055200
7152625234
oct47003220
921214420
1010225296
115854464
123511500
132170293
1415025c4
15d6eab6
hex9c0690

10225296 has 60 divisors (see below), whose sum is σ = 30307212. Its totient is φ = 3207168.

The previous prime is 10225223. The next prime is 10225307. The reversal of 10225296 is 69252201.

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 1440000 = 2964^2 + 1200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360 + ... + 4536.

Almost surely, 210225296 is an apocalyptic number.

10225296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153606).

10225296 is an abundant number, since it is smaller than the sum of its proper divisors (20081916).

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

10225296 is a wasteful number, since it uses less digits than its factorization.

10225296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10225296 is about 3197.7016746407. The cubic root of 10225296 is about 217.0494199631.

Adding to 10225296 its reverse (69252201), we get a palindrome (79477497).

The spelling of 10225296 in words is "ten million, two hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4177 8354 12531 16708 25062 33416 37593 50124 66832 71009 75186 100248 142018 150372 200496 213027 284036 300744 426054 568072 601488 639081 852108 1136144 1278162 1704216 2556324 3408432 5112648 10225296