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212523460 = 225172232803
BaseRepresentation
bin11001010101011…
…01100111000100
3112210220022101021
430222231213010
5413401222320
633031040524
75160263632
oct1452554704
9483808337
10212523460
11a9a67026
125b210144
1335050636
1420322352
15139cedaa
hexcaad9c4

212523460 has 48 divisors (see below), whose sum is σ = 474840576. Its totient is φ = 79621632.

The previous prime is 212523439. The next prime is 212523463. The reversal of 212523460 is 64325212.

212523460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212523463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74419 + ... + 77221.

It is an arithmetic number, because the mean of its divisors is an integer number (9892512).

Almost surely, 2212523460 is an apocalyptic number.

212523460 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 212523460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237420288).

212523460 is an abundant number, since it is smaller than the sum of its proper divisors (262317116).

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

212523460 is a wasteful number, since it uses less digits than its factorization.

212523460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 212523460 is about 14578.1843862670. The cubic root of 212523460 is about 596.7635552463.

Adding to 212523460 its reverse (64325212), we get a palindrome (276848672).

The spelling of 212523460 in words is "two hundred twelve million, five hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 223 340 446 892 1115 2230 2803 3791 4460 5606 7582 11212 14015 15164 18955 28030 37910 47651 56060 75820 95302 190604 238255 476510 625069 953020 1250138 2500276 3125345 6250690 10626173 12501380 21252346 42504692 53130865 106261730 212523460