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212818068 = 223247731723
BaseRepresentation
bin11001010111101…
…01100010010100
3112211110021111200
430223311202110
5413440134233
633041232500
75162631561
oct1453654224
9484407450
10212818068
11aa148401
125b332730
1335124768
142039b868
1513a3c313
hexcaf5894

212818068 has 72 divisors (see below), whose sum is σ = 557251968. Its totient is φ = 68439168.

The previous prime is 212818033. The next prime is 212818093. The reversal of 212818068 is 860818212.

212818068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 122655 + ... + 124377.

Almost surely, 2212818068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212818068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278625984).

212818068 is an abundant number, since it is smaller than the sum of its proper divisors (344433900).

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

212818068 is a wasteful number, since it uses less digits than its factorization.

212818068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 212818068 is about 14588.2853001989. The cubic root of 212818068 is about 597.0391799409.

The spelling of 212818068 in words is "two hundred twelve million, eight hundred eighteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 73 94 141 146 188 219 282 292 423 438 564 657 846 876 1314 1692 1723 2628 3431 3446 5169 6862 6892 10293 10338 13724 15507 20586 20676 30879 31014 41172 61758 62028 80981 123516 125779 161962 242943 251558 323924 377337 485886 503116 728829 754674 971772 1132011 1457658 1509348 2264022 2915316 4528044 5911613 11823226 17734839 23646452 35469678 53204517 70939356 106409034 212818068