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214836312 = 233107269311
BaseRepresentation
bin11001100111000…
…10010001011000
3112222020211000110
430303202101120
5414444230222
633152404320
75216035635
oct1463422130
9488224013
10214836312
111002a6779
125bb466a0
13356802a2
142076518c
1513cda30c
hexcce2458

214836312 has 64 divisors (see below), whose sum is σ = 545875200. Its totient is φ = 70451840.

The previous prime is 214836311. The next prime is 214836329. The reversal of 214836312 is 213638412.

214836312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2148363122 = 92309281907522688, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214836312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214836311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690637 + ... + 690947.

It is an arithmetic number, because the mean of its divisors is an integer number (8529300).

Almost surely, 2214836312 is an apocalyptic number.

It is an amenable number.

214836312 is an abundant number, since it is smaller than the sum of its proper divisors (331038888).

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

214836312 is a wasteful number, since it uses less digits than its factorization.

214836312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 692 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 214836312 is about 14657.2955213436. The cubic root of 214836312 is about 598.9205703283.

The spelling of 214836312 in words is "two hundred fourteen million, eight hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 107 214 269 311 321 428 538 622 642 807 856 933 1076 1244 1284 1614 1866 2152 2488 2568 3228 3732 6456 7464 28783 33277 57566 66554 83659 86349 99831 115132 133108 167318 172698 199662 230264 250977 266216 334636 345396 399324 501954 669272 690792 798648 1003908 2007816 8951513 17903026 26854539 35806052 53709078 71612104 107418156 214836312