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223343322341440 = 2657226952951057
BaseRepresentation
bin110010110010000100101011…
…011001000010000001000000
31002021210102011010220211120211
4302302010223121002001000
5213233224111004411230
62111002301132243504
765021010506342500
oct6262045331020100
91067712133824524
10223343322341440
1165189409a05724
1221071522910594
139781253389072
143d21c357dba00
151ac4a1432742a
hexcb212b642040

223343322341440 has 168 divisors, whose sum is σ = 620966588356440. Its totient is φ = 76290187051008.

The previous prime is 223343322341431. The next prime is 223343322341453. The reversal of 223343322341440 is 44143223343322.

It can be written as a sum of positive squares in 4 ways, for example, as 25627326774336 + 197715995567104 = 5062344^2 + 14061152^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 223343322341393 and 223343322341402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22257609 + ... + 30693448.

Almost surely, 2223343322341440 is an apocalyptic number.

223343322341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223343322341440 is an abundant number, since it is smaller than the sum of its proper divisors (397623266015000).

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

223343322341440 is a wasteful number, since it uses less digits than its factorization.

223343322341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52951357 (or 52951340 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 223343322341440 its reverse (44143223343322), we get a palindrome (267486545684762).

The spelling of 223343322341440 in words is "two hundred twenty-three trillion, three hundred forty-three billion, three hundred twenty-two million, three hundred forty-one thousand, four hundred forty".