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214890048 = 2632373073
BaseRepresentation
bin11001100111011…
…11011001000000
3112222100112201200
430303233121000
5420002440143
633153501200
75216351412
oct1463573100
9488315650
10214890048
1110033308a
125bb71800
133569b899
142077a9b2
1513ceb1d3
hexccef640

214890048 has 42 divisors (see below), whose sum is σ = 615945174. Its totient is φ = 71629824.

The previous prime is 214890041. The next prime is 214890077. The reversal of 214890048 is 840098412.

214890048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 212226624 + 2663424 = 14568^2 + 1632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214889994 and 214890021.

It is not an unprimeable number, because it can be changed into a prime (214890041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185961 + ... + 187112.

Almost surely, 2214890048 is an apocalyptic number.

It is an amenable number.

214890048 is an abundant number, since it is smaller than the sum of its proper divisors (401055126).

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

214890048 is a wasteful number, since it uses less digits than its factorization.

214890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373091 (or 373078 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 214890048 is about 14659.1284870554. The cubic root of 214890048 is about 598.9705012308.

The spelling of 214890048 in words is "two hundred fourteen million, eight hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 373073 746146 1119219 1492292 2238438 2984584 3357657 4476876 5969168 6715314 8953752 11938336 13430628 17907504 23876672 26861256 35815008 53722512 71630016 107445024 214890048