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235223144640 = 263551159279
BaseRepresentation
bin1101101100010001100…
…1000101100011000000
3211111011002211211100000
43123010121011203000
512323214111112030
6300020544200000
722665022511541
oct3330431054300
9744132754300
10235223144640
11908373730a0
1239707909000
13192488419b3
14b5560b64c8
1561ba8d1860
hex36c46458c0

235223144640 has 1008 divisors, whose sum is σ = 942873684480. Its totient is φ = 55347701760.

The previous prime is 235223144623. The next prime is 235223144641. The reversal of 235223144640 is 46441322532.

235223144640 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 2 + 3 + 1 + 4 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235223144595 and 235223144604.

It is not an unprimeable number, because it can be changed into a prime (235223144641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2977508121 + ... + 2977508199.

It is an arithmetic number, because the mean of its divisors is an integer number (935390560).

Almost surely, 2235223144640 is an apocalyptic number.

235223144640 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 235223144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471436842240).

235223144640 is an abundant number, since it is smaller than the sum of its proper divisors (707650539840).

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

235223144640 is an equidigital number, since it uses as much as digits as its factorization.

235223144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 235223144640 in words is "two hundred thirty-five billion, two hundred twenty-three million, one hundred forty-four thousand, six hundred forty".