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223312001310240 = 253518111172301119
BaseRepresentation
bin110010110001100111100000…
…100000110001111000100000
31002021200102022022212121002020
4302301213200200301320200
5213232220434313411430
62110540041150021440
765015521366100643
oct6261474040617040
91067612268777066
10223312001310240
11651770a700a377
12210674414a7880
13977b3014043cb
143d20503b59a5a
151ac3cce756b10
hexcb19e0831e20

223312001310240 has 192 divisors, whose sum is σ = 707952711997440. Its totient is φ = 59167818731520.

The previous prime is 223312001310199. The next prime is 223312001310269. The reversal of 223312001310240 is 42013100213322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 223312001310240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95894401 + ... + 98195519.

It is an arithmetic number, because the mean of its divisors is an integer number (3687253708320).

Almost surely, 2223312001310240 is an apocalyptic number.

223312001310240 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 223312001310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353976355998720).

223312001310240 is an abundant number, since it is smaller than the sum of its proper divisors (484640710687200).

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

223312001310240 is a wasteful number, since it uses less digits than its factorization.

223312001310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302435 (or 2302427 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 223312001310240 its reverse (42013100213322), we get a palindrome (265325101523562).

The spelling of 223312001310240 in words is "two hundred twenty-three trillion, three hundred twelve billion, one million, three hundred ten thousand, two hundred forty".