Search a number
-
+
223077465663072 = 2532323723600657
BaseRepresentation
bin110010101110001101000101…
…000110010010011001100000
31002020211222221010200020222120
4302232031011012102121200
5213214400122202204242
62110240212321104240
764662546362015646
oct6256150506223140
91066758833606876
10223077465663072
1165096692827309
1221029aa7a88080
139762165145167
143d130150c5196
151abcb543c81ec
hexcae345192660

223077465663072 has 24 divisors (see below), whose sum is σ = 585578347365816. Its totient is φ = 74359155220992.

The previous prime is 223077465663053. The next prime is 223077465663079. The reversal of 223077465663072 is 270366564770322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2230774656630723 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223077465662997 and 223077465663015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223077465663079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1161861800233 + ... + 1161861800424.

It is an arithmetic number, because the mean of its divisors is an integer number (24399097806909).

Almost surely, 2223077465663072 is an apocalyptic number.

It is an amenable number.

223077465663072 is an abundant number, since it is smaller than the sum of its proper divisors (362500881702744).

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

223077465663072 is a wasteful number, since it uses less digits than its factorization.

223077465663072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323723600670 (or 2323723600662 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 60.

The spelling of 223077465663072 in words is "two hundred twenty-three trillion, seventy-seven billion, four hundred sixty-five million, six hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2323723600657 4647447201314 6971170801971 9294894402628 13942341603942 18589788805256 27884683207884 37179577610512 55769366415768 74359155221024 111538732831536 223077465663072