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212262408 = 23321721012
BaseRepresentation
bin11001010011011…
…01111000001000
3112210102001021200
430221231320020
5413314344113
633021304200
75155125561
oct1451557010
9483361250
10212262408
11a98a8986
125b105060
1334c8b877
1420295168
151397c873
hexca6de08

212262408 has 108 divisors (see below), whose sum is σ = 616789095. Its totient is φ = 65932800.

The previous prime is 212262389. The next prime is 212262431. The reversal of 212262408 is 804262212.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 210308004 + 1954404 = 14502^2 + 1398^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10302.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2101558 + ... + 2101658.

Almost surely, 2212262408 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 212262408

212262408 is an abundant number, since it is smaller than the sum of its proper divisors (404526687).

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

212262408 is a wasteful number, since it uses less digits than its factorization.

212262408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 212262408 is about 14569.2281195676. The cubic root of 212262408 is about 596.5191114100.

The spelling of 212262408 in words is "two hundred twelve million, two hundred sixty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 101 102 136 153 202 204 289 303 306 404 408 578 606 612 808 867 909 1156 1212 1224 1717 1734 1818 2312 2424 2601 3434 3468 3636 5151 5202 6868 6936 7272 10201 10302 10404 13736 15453 20402 20604 20808 29189 30603 30906 40804 41208 58378 61206 61812 81608 87567 91809 116756 122412 123624 173417 175134 183618 233512 244824 262701 346834 350268 367236 520251 525402 693668 700536 734472 1040502 1050804 1387336 1560753 2081004 2101608 2948089 3121506 4162008 5896178 6243012 8844267 11792356 12486024 17688534 23584712 26532801 35377068 53065602 70754136 106131204 212262408