Search a number
-
+
212289660 = 22355112192
BaseRepresentation
bin11001010011101…
…00100001111100
3112210110102200000
430221310201330
5413321232120
633022034300
75155301202
oct1451644174
9483412600
10212289660
11a9917400
125b118990
1334c9b0ab
14202a1072
1513985990
hexca7487c

212289660 has 324 divisors, whose sum is σ = 774688824. Its totient is φ = 48755520.

The previous prime is 212289629. The next prime is 212289661. The reversal of 212289660 is 66982212.

It is a happy number.

212289660 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 (324).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212289661) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11173131 + ... + 11173149.

Almost surely, 2212289660 is an apocalyptic number.

212289660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212289660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387344412).

212289660 is an abundant number, since it is smaller than the sum of its proper divisors (562399164).

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

212289660 is a wasteful number, since it uses less digits than its factorization.

212289660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 212289660 is about 14570.1633484323. The cubic root of 212289660 is about 596.5446390000.

The spelling of 212289660 in words is "two hundred twelve million, two hundred eighty-nine thousand, six hundred sixty".