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212066700 = 223521036863
BaseRepresentation
bin11001010001111…
…10000110001100
3112210001002211020
430220332012030
5413242113300
633013154140
75153352156
oct1450760614
9483032736
10212066700
11a978493a
125b02b950
1334c20771
1420243ad6
151393e8a0
hexca3e18c

212066700 has 72 divisors (see below), whose sum is σ = 619627008. Its totient is φ = 55993920.

The previous prime is 212066677. The next prime is 212066707. The reversal of 212066700 is 7660212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212066707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27469 + ... + 34331.

Almost surely, 2212066700 is an apocalyptic number.

212066700 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 212066700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309813504).

212066700 is an abundant number, since it is smaller than the sum of its proper divisors (407560308).

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

212066700 is a wasteful number, since it uses less digits than its factorization.

212066700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 212066700 is about 14562.5100858334. The cubic root of 212066700 is about 596.3357229000.

The spelling of 212066700 in words is "two hundred twelve million, sixty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 6863 7725 10300 13726 15450 20589 27452 30900 34315 41178 68630 82356 102945 137260 171575 205890 343150 411780 514725 686300 706889 1029450 1413778 2058900 2120667 2827556 3534445 4241334 7068890 8482668 10603335 14137780 17672225 21206670 35344450 42413340 53016675 70688900 106033350 212066700