Search a number
-
+
9220100 = 2252137673
BaseRepresentation
bin100011001011…
…000000000100
3122100102121012
4203023000010
54330020400
6525341352
7141240521
oct43130004
918312535
109220100
11522821a
123107858
131baa8a6
141320148
15c21d35
hex8cb004

9220100 has 36 divisors (see below), whose sum is σ = 20183604. Its totient is φ = 3655680.

The previous prime is 9220097. The next prime is 9220109. The reversal of 9220100 is 10229.

It can be written as a sum of positive squares in 6 ways, for example, as 315844 + 8904256 = 562^2 + 2984^2 .

It is not an unprimeable number, because it can be changed into a prime (9220109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13364 + ... + 14036.

Almost surely, 29220100 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 9220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10091802).

9220100 is an abundant number, since it is smaller than the sum of its proper divisors (10963504).

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

9220100 is a wasteful number, since it uses less digits than its factorization.

9220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 9220100 is about 3036.4617567162. The cubic root of 9220100 is about 209.6903978987.

Adding to 9220100 its reverse (10229), we get a palindrome (9230329).

The spelling of 9220100 in words is "nine million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 673 685 1346 1370 2692 2740 3365 3425 6730 6850 13460 13700 16825 33650 67300 92201 184402 368804 461005 922010 1844020 2305025 4610050 9220100