Search a number
-
+
9220104 = 2332373461
BaseRepresentation
bin100011001011…
…000000001000
3122100102121100
4203023000020
54330020404
6525341400
7141240525
oct43130010
918312540
109220104
115228223
123107860
131baa8aa
14132014c
15c21d39
hex8cb008

9220104 has 48 divisors (see below), whose sum is σ = 25653420. Its totient is φ = 2989440.

The previous prime is 9220097. The next prime is 9220109. The reversal of 9220104 is 4010229.

It can be written as a sum of positive squares in 2 ways, for example, as 9180900 + 39204 = 3030^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 934 + ... + 4394.

Almost surely, 29220104 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 9220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12826710).

9220104 is an abundant number, since it is smaller than the sum of its proper divisors (16433316).

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

9220104 is a wasteful number, since it uses less digits than its factorization.

9220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9220104 is about 3036.4624153775. The cubic root of 9220104 is about 209.6904282223.

The spelling of 9220104 in words is "nine million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 3461 6922 10383 13844 20766 27688 31149 41532 62298 83064 124596 128057 249192 256114 384171 512228 768342 1024456 1152513 1536684 2305026 3073368 4610052 9220104