Search a number
-
+
212936660 = 22535330161
BaseRepresentation
bin11001011000100…
…10011111010100
3112211200022011222
430230102133110
5414002433120
633043545512
75163634406
oct1454223724
9484608158
10212936660
11aa219512
125b38b298
1335166731
14203ccb76
1513a62525
hexcb127d4

212936660 has 24 divisors (see below), whose sum is σ = 448448616. Its totient is φ = 84930560.

The previous prime is 212936627. The next prime is 212936663. The reversal of 212936660 is 66639212.

212936660 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 4 ways, for example, as 37797904 + 175138756 = 6148^2 + 13234^2 .

It is a super-3 number, since 3×2129366603 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212936660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212936663) 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, 8021 + ... + 22140.

It is an arithmetic number, because the mean of its divisors is an integer number (18685359).

Almost surely, 2212936660 is an apocalyptic number.

212936660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212936660 is an abundant number, since it is smaller than the sum of its proper divisors (235511956).

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

212936660 is a wasteful number, since it uses less digits than its factorization.

212936660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30523 (or 30521 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 212936660 is about 14592.3493653352. The cubic root of 212936660 is about 597.1500585635.

The spelling of 212936660 in words is "two hundred twelve million, nine hundred thirty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 30161 60322 120644 150805 301610 603220 10646833 21293666 42587332 53234165 106468330 212936660