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212012300 = 22524779571
BaseRepresentation
bin11001010001100…
…00110100001100
3112202221100012102
430220300310030
5413233343200
633012054232
75153034443
oct1450606414
9482840172
10212012300
11a9747a85
125b004378
1334c01a86
142022bd5a
151392d6d5
hexca30d0c

212012300 has 72 divisors (see below), whose sum is σ = 476636160. Its totient is φ = 81806400.

The previous prime is 212012299. The next prime is 212012351. The reversal of 212012300 is 3210212.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 371015 + ... + 371585.

Almost surely, 2212012300 is an apocalyptic number.

212012300 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 212012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238318080).

212012300 is an abundant number, since it is smaller than the sum of its proper divisors (264623860).

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

212012300 is a wasteful number, since it uses less digits than its factorization.

212012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 212012300 is about 14560.6421561688. The cubic root of 212012300 is about 596.2847272500.

Adding to 212012300 its reverse (3210212), we get a palindrome (215222512).

The spelling of 212012300 in words is "two hundred twelve million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 79 94 100 158 188 235 316 395 470 571 790 940 1142 1175 1580 1975 2284 2350 2855 3713 3950 4700 5710 7426 7900 11420 14275 14852 18565 26837 28550 37130 45109 53674 57100 74260 90218 92825 107348 134185 180436 185650 225545 268370 371300 451090 536740 670925 902180 1127725 1341850 2120123 2255450 2683700 4240246 4510900 8480492 10600615 21201230 42402460 53003075 106006150 212012300