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9922500 = 22345472
BaseRepresentation
bin100101110110…
…011111000100
3200200010010000
4211312133010
510020010000
6552401300
7150224400
oct45663704
920603100
109922500
115667a15
1233a6230
132095503
141464100
15d10000
hex9767c4

9922500 has 225 divisors, whose sum is σ = 37705899. Its totient is φ = 2268000.

The previous prime is 9922489. The next prime is 9922529. The reversal of 9922500 is 52299.

The square root of 9922500 is 3150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 9144576 = 882^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1417497 + ... + 1417503.

Almost surely, 29922500 is an apocalyptic number.

9922500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9922500 is the 3150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9922500

9922500 is an abundant number, since it is smaller than the sum of its proper divisors (27783399).

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

9922500 is a wasteful number, since it uses less digits than its factorization.

9922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 9922500 is about 214.8854626997.

Adding to 9922500 its reverse (52299), we get a palindrome (9974799).

The spelling of 9922500 in words is "nine million, nine hundred twenty-two thousand, five hundred".