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215124012 = 2235435147
BaseRepresentation
bin11001101001010…
…00100000101100
3112222210102200000
430310220200230
5420032432022
633202504300
75221344465
oct1464504054
9488712600
10215124012
11100482944
1260065090
133575121c
14207dbd6c
1513d456ac
hexcd2882c

215124012 has 72 divisors (see below), whose sum is σ = 577152576. Its totient is φ = 70026768.

The previous prime is 215124011. The next prime is 215124053. The reversal of 215124012 is 210421512.

It is a super-2 number, since 2×2151240122 = 92556681077952288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (215124011) by changing a digit.

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, 39223 + ... + 44369.

It is an arithmetic number, because the mean of its divisors is an integer number (8016008).

Almost surely, 2215124012 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 215124012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288576288).

215124012 is an abundant number, since it is smaller than the sum of its proper divisors (362028564).

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

215124012 is a wasteful number, since it uses less digits than its factorization.

215124012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 215124012 is about 14667.1064631031. The cubic root of 215124012 is about 599.1878010509.

Adding to 215124012 its reverse (210421512), we get a palindrome (425545524).

The spelling of 215124012 in words is "two hundred fifteen million, one hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 774 972 1161 1548 2322 3483 4644 5147 6966 10294 10449 13932 15441 20588 20898 30882 41796 46323 61764 92646 138969 185292 221321 277938 416907 442642 555876 663963 833814 885284 1250721 1327926 1667628 1991889 2501442 2655852 3983778 5002884 5975667 7967556 11951334 17927001 23902668 35854002 53781003 71708004 107562006 215124012