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212142336 = 283739461
BaseRepresentation
bin11001010010100…
…00100100000000
3112210011221120120
430221100210000
5413302023321
633014540240
75154115530
oct1451204400
9483157516
10212142336
11a982674a
125b067680
1334c49013
14202634c0
1513956ec6
hexca50900

212142336 has 72 divisors (see below), whose sum is σ = 645282624. Its totient is φ = 60610560.

The previous prime is 212142313. The next prime is 212142377. The reversal of 212142336 is 633241212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14355 + ... + 25106.

Almost surely, 2212142336 is an apocalyptic number.

It is an amenable number.

212142336 is an abundant number, since it is smaller than the sum of its proper divisors (433140288).

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

212142336 is an equidigital number, since it uses as much as digits as its factorization.

212142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39487 (or 39473 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 212142336 is about 14565.1067967248. The cubic root of 212142336 is about 596.4066111118.

Adding to 212142336 its reverse (633241212), we get a palindrome (845383548).

The spelling of 212142336 in words is "two hundred twelve million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 39461 78922 118383 157844 236766 276227 315688 473532 552454 631376 828681 947064 1104908 1262752 1657362 1894128 2209816 2525504 3314724 3788256 4419632 5051008 6629448 7576512 8839264 10102016 13258896 15153024 17678528 26517792 30306048 35357056 53035584 70714112 106071168 212142336