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223123321033440 = 2535464840252153
BaseRepresentation
bin110010101110110111110010…
…010010101001001011100000
31002021000101021212122102121020
4302232313302102221023200
5213221123030141032230
62110313234424525440
764666061616153252
oct6256676222511340
91067011255572536
10223123321033440
1165104083a01813
1221036964920880
139766592324ac9
143d153251b3cd2
151abde39e79810
hexcaedf24a92e0

223123321033440 has 48 divisors (see below), whose sum is σ = 702838461256848. Its totient is φ = 59499552275456.

The previous prime is 223123321033423. The next prime is 223123321033441. The reversal of 223123321033440 is 44330123321322.

223123321033440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2231233210334403 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223123321033441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232420125597 + ... + 232420126556.

It is an arithmetic number, because the mean of its divisors is an integer number (14642467942851).

Almost surely, 2223123321033440 is an apocalyptic number.

223123321033440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223123321033440 is an abundant number, since it is smaller than the sum of its proper divisors (479715140223408).

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

223123321033440 is a wasteful number, since it uses less digits than its factorization.

223123321033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464840252171 (or 464840252163 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 223123321033440 its reverse (44330123321322), we get a palindrome (267453444354762).

The spelling of 223123321033440 in words is "two hundred twenty-three trillion, one hundred twenty-three billion, three hundred twenty-one million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 464840252153 929680504306 1394520756459 1859361008612 2324201260765 2789041512918 3718722017224 4648402521530 5578083025836 6972603782295 7437444034448 9296805043060 11156166051672 13945207564590 14874888068896 18593610086120 22312332103344 27890415129180 37187220172240 44624664206688 55780830258360 74374440344480 111561660516720 223123321033440