Search a number
-
+
223341277570164 = 223213477224952073
BaseRepresentation
bin110010110010000010110001…
…100000110110010001110100
31002021210012212122022200201100
4302302002301200312101310
5213233210414024221124
62111001322205530100
765020606030151265
oct6262026140662164
91067705778280640
10223341277570164
116518855a769806
1221071051b73930
139780cb8867530
143d21ac000a96c
151ac4944a6e1c9
hexcb20b1836474

223341277570164 has 36 divisors (see below), whose sum is σ = 607984588942276. Its totient is φ = 68720393098368.

The previous prime is 223341277570139. The next prime is 223341277570189. The reversal of 223341277570164 is 461075772143322.

223341277570164 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 4 + 1 + 2 + 7 + 7 + 570 + 1 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (223341277570139) and next prime (223341277570189).

It can be written as a sum of positive squares in 2 ways, for example, as 55256327571600 + 168084949998564 = 7433460^2 + 12964758^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 223341277570164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238612475569 + ... + 238612476504.

Almost surely, 2223341277570164 is an apocalyptic number.

It is an amenable number.

223341277570164 is an abundant number, since it is smaller than the sum of its proper divisors (384643311372112).

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

223341277570164 is a wasteful number, since it uses less digits than its factorization.

223341277570164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477224952096 (or 477224952091 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 223341277570164 in words is "two hundred twenty-three trillion, three hundred forty-one billion, two hundred seventy-seven million, five hundred seventy thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 477224952073 954449904146 1431674856219 1908899808292 2863349712438 4295024568657 5726699424876 6203924376949 8590049137314 12407848753898 17180098274628 18611773130847 24815697507796 37223546261694 55835319392541 74447092523388 111670638785082 223341277570164