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23229400320 = 28355747227
BaseRepresentation
bin10101101000100101…
…001000010100000000
32012221220012210200000
4111220211020110000
5340033211302240
614401010400000
71451434434120
oct255045102400
965856183600
1023229400320
119940433305
124603590000
13226276b4b9
1411a5164c80
1590e525430
hex568948500

23229400320 has 864 divisors, whose sum is σ = 97710133248. Its totient is φ = 5173714944.

The previous prime is 23229400303. The next prime is 23229400331. The reversal of 23229400320 is 2300492232.

23229400320 is a `hidden beast` number, since 2 + 3 + 229 + 400 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×232294003202 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 102332047 + ... + 102332273.

It is an arithmetic number, because the mean of its divisors is an integer number (113090432).

Almost surely, 223229400320 is an apocalyptic number.

23229400320 is a gapful number since it is divisible by the number (20) 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 23229400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48855066624).

23229400320 is an abundant number, since it is smaller than the sum of its proper divisors (74480732928).

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

23229400320 is an equidigital number, since it uses as much as digits as its factorization.

23229400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23229400320 its reverse (2300492232), we get a palindrome (25529892552).

The spelling of 23229400320 in words is "twenty-three billion, two hundred twenty-nine million, four hundred thousand, three hundred twenty".