Search a number
-
+
216314676 = 223243313877
BaseRepresentation
bin11001110010010…
…11001100110100
3120002000220221200
430321023030310
5420334032201
633244212500
75234434014
oct1471131464
9502026850
10216314676
11101116466
126053a130
1335a7a166
1420a2bc44
1513ecd386
hexce4b334

216314676 has 36 divisors (see below), whose sum is σ = 548097732. Its totient is φ = 71933184.

The previous prime is 216314671. The next prime is 216314689. The reversal of 216314676 is 676413612.

It is a happy number.

216314676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20034576 + 196280100 = 4476^2 + 14010^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216314676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216314671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8650 + ... + 22526.

It is an arithmetic number, because the mean of its divisors is an integer number (15224937).

Almost surely, 2216314676 is an apocalyptic number.

It is an amenable number.

216314676 is an abundant number, since it is smaller than the sum of its proper divisors (331783056).

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

216314676 is a wasteful number, since it uses less digits than its factorization.

216314676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14320 (or 14315 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 216314676 is about 14707.6400554270. The cubic root of 216314676 is about 600.2912252902.

The spelling of 216314676 in words is "two hundred sixteen million, three hundred fourteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 433 866 1299 1732 2598 3897 5196 7794 13877 15588 27754 41631 55508 83262 124893 166524 249786 499572 6008741 12017482 18026223 24034964 36052446 54078669 72104892 108157338 216314676