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223233142123014 = 232911633110285317
BaseRepresentation
bin110010110000011110000100…
…001000110110101000000110
31002021101212202111101211000020
4302300132010020312220012
5213224422433340414024
62110435520104000010
765010030236054052
oct6260360410665006
91067355674354006
10223233142123014
116514670a063871
12210540b3760006
139773a4473ca4a
143d1a782704c62
151ac1c164d1979
hexcb0784236a06

223233142123014 has 32 divisors (see below), whose sum is σ = 461901380260320. Its totient is φ = 71838972559872.

The previous prime is 223233142123007. The next prime is 223233142123091. The reversal of 223233142123014 is 410321241332322.

It is a happy number.

It is a super-3 number, since 3×2232331421230143 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 53118517 + ... + 57166800.

It is an arithmetic number, because the mean of its divisors is an integer number (14434418133135).

Almost surely, 2223233142123014 is an apocalyptic number.

223233142123014 is an abundant number, since it is smaller than the sum of its proper divisors (238668238137306).

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

223233142123014 is a wasteful number, since it uses less digits than its factorization.

223233142123014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110296984.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 223233142123014 its reverse (410321241332322), we get a palindrome (633554383455336).

The spelling of 223233142123014 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, one hundred forty-two million, one hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 29 58 87 174 11633 23266 34899 69798 337357 674714 1012071 2024142 110285317 220570634 330855951 661711902 3198274193 6396548386 9594822579 19189645158 1282949092661 2565898185322 3848847277983 7697694555966 37205523687169 74411047374338 111616571061507 223233142123014