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213310656 = 26321361467
BaseRepresentation
bin11001011011011…
…01110011000000
3112212101022012200
430231231303000
5414101420111
633055553200
75200052646
oct1455556300
9485338180
10213310656
11aa4544a9
125b52b800
1335267a30
1420489196
1513ad8256
hexcb6dcc0

213310656 has 168 divisors, whose sum is σ = 670675824. Its totient is φ = 64419840.

The previous prime is 213310627. The next prime is 213310673. The reversal of 213310656 is 656013312.

213310656 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 1 + 0 + 656 = 666.

213310656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456535 + ... + 457001.

It is an arithmetic number, because the mean of its divisors is an integer number (3992118).

Almost surely, 2213310656 is an apocalyptic number.

213310656 is a gapful number since it is divisible by the number (26) 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 213310656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335337912).

213310656 is an abundant number, since it is smaller than the sum of its proper divisors (457365168).

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

213310656 is a wasteful number, since it uses less digits than its factorization.

213310656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 213310656 is about 14605.1585407348. The cubic root of 213310656 is about 597.4994599763.

Adding to 213310656 its reverse (656013312), we get a palindrome (869323968).

The spelling of 213310656 in words is "two hundred thirteen million, three hundred ten thousand, six hundred fifty-six".