Search a number
-
+
212699680 = 25519313761
BaseRepresentation
bin11001010110110…
…00101000100000
3112211020021002221
430223120220200
5413422342210
633034520424
75161626454
oct1453305040
9484207087
10212699680
11aa077466
125b296114
13350b28cb
142036a664
1513a171da
hexcad8a20

212699680 has 192 divisors, whose sum is σ = 569963520. Its totient is φ = 74649600.

The previous prime is 212699651. The next prime is 212699749. The reversal of 212699680 is 86996212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3486850 + ... + 3486910.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2212699680 is an apocalyptic number.

212699680 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 212699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

212699680 is an abundant number, since it is smaller than the sum of its proper divisors (357263840).

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

212699680 is a wasteful number, since it uses less digits than its factorization.

212699680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 212699680 is about 14584.2270964217. The cubic root of 212699680 is about 596.9284509573.

The spelling of 212699680 in words is "two hundred twelve million, six hundred ninety-nine thousand, six hundred eighty".