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9220055040 = 2133457397
BaseRepresentation
bin10001001011000111…
…01110000000000000
3212210120011022210000
420211203232000000
5122340313230130
64122521440000
7444324113640
oct104543560000
925716138700
109220055040
113a015318a9
121953940000
13b3c239a91
14636738520
1538e698260
hex2258ee000

9220055040 has 560 divisors, whose sum is σ = 37870680672. Its totient is φ = 2102132736.

The previous prime is 9220055027. The next prime is 9220055041. The reversal of 9220055040 is 405500229.

9220055040 is a `hidden beast` number, since 92 + 20 + 0 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 9220054995 and 9220055013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9220055041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23224122 + ... + 23224518.

Almost surely, 29220055040 is an apocalyptic number.

9220055040 is a gapful number since it is divisible by the number (90) 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 9220055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935340336).

9220055040 is an abundant number, since it is smaller than the sum of its proper divisors (28650625632).

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

9220055040 is an equidigital number, since it uses as much as digits as its factorization.

9220055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 9220055040 is about 96021.1176773110. The cubic root of 9220055040 is about 2096.9005706017.

Adding to 9220055040 its reverse (405500229), we get a palindrome (9625555269).

The spelling of 9220055040 in words is "nine billion, two hundred twenty million, fifty-five thousand, forty".