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214141032 = 233274143241
BaseRepresentation
bin11001100001110…
…00100001101000
3112220221111021100
430300320201220
5414310003112
633125441400
75210111610
oct1460704150
9486844240
10214141032
11aa971366
125b870260
1335498991
1420623a40
1513bee2dc
hexcc38868

214141032 has 192 divisors, whose sum is σ = 697656960. Its totient is φ = 58060800.

The previous prime is 214141021. The next prime is 214141033. The reversal of 214141032 is 230141412.

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 214140996 and 214141014.

It is not an unprimeable number, because it can be changed into a prime (214141033) 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 47 ways as a sum of consecutive naturals, for example, 888432 + ... + 888672.

It is an arithmetic number, because the mean of its divisors is an integer number (3633630).

Almost surely, 2214141032 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 214141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348828480).

214141032 is an abundant number, since it is smaller than the sum of its proper divisors (483515928).

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

214141032 is a wasteful number, since it uses less digits than its factorization.

214141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214141032 is about 14633.5584189219. The cubic root of 214141032 is about 598.2737716557.

Adding to 214141032 its reverse (230141412), we get a palindrome (444282444).

It can be divided in two parts, 214 and 141032, that added together give a triangular number (141246 = T531).

The spelling of 214141032 in words is "two hundred fourteen million, one hundred forty-one thousand, thirty-two".