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10226500 = 2253113181
BaseRepresentation
bin100111000000…
…101101000100
3201020120010021
4213000231010
510104222000
61003104524
7152631604
oct47005504
921216107
1010226500
115855359
123512144
1321709ab
141502c04
15d7011a
hex9c0b44

10226500 has 48 divisors (see below), whose sum is σ = 22656816. Its totient is φ = 4032000.

The previous prime is 10226479. The next prime is 10226501. The reversal of 10226500 is 562201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9339136 + 887364 = 3056^2 + 942^2 .

It is not an unprimeable number, because it can be changed into a prime (10226501) 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, 56410 + ... + 56590.

It is an arithmetic number, because the mean of its divisors is an integer number (472017).

Almost surely, 210226500 is an apocalyptic number.

10226500 is a gapful number since it is divisible by the number (10) 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 10226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328408).

10226500 is an abundant number, since it is smaller than the sum of its proper divisors (12430316).

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

10226500 is a wasteful number, since it uses less digits than its factorization.

10226500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10226500 is about 3197.8899293128. The cubic root of 10226500 is about 217.0579386161.

Adding to 10226500 its reverse (562201), we get a palindrome (10788701).

The spelling of 10226500 in words is "ten million, two hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 181 226 250 362 452 500 565 724 905 1130 1810 2260 2825 3620 4525 5650 9050 11300 14125 18100 20453 22625 28250 40906 45250 56500 81812 90500 102265 204530 409060 511325 1022650 2045300 2556625 5113250 10226500