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214032033 = 3250347279
BaseRepresentation
bin11001100000111…
…01111010100001
3112220201221202100
430300131322201
5414243011113
633123241013
75206146045
oct1460357241
9486657670
10214032033
11aa8a7486
125b819169
133545b197
14205d6025
1513bcbd73
hexcc1dea1

214032033 has 12 divisors (see below), whose sum is σ = 309778560. Its totient is φ = 142401336.

The previous prime is 214031963. The next prime is 214032037. The reversal of 214032033 is 330230412.

214032033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214032033 - 216 = 213966497 is a prime.

It is a super-2 number, since 2×2140320332 = 91619422300226178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214031997 and 214032015.

It is not an unprimeable number, because it can be changed into a prime (214032037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19113 + ... + 28166.

It is an arithmetic number, because the mean of its divisors is an integer number (25814880).

Almost surely, 2214032033 is an apocalyptic number.

It is an amenable number.

214032033 is a deficient number, since it is larger than the sum of its proper divisors (95746527).

214032033 is a wasteful number, since it uses less digits than its factorization.

214032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47788 (or 47785 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 214032033 is about 14629.8336627591. The cubic root of 214032033 is about 598.1722461803.

Adding to 214032033 its reverse (330230412), we get a palindrome (544262445).

It can be divided in two parts, 21403 and 2033, that added together give a triangular number (23436 = T216).

The spelling of 214032033 in words is "two hundred fourteen million, thirty-two thousand, thirty-three".

Divisors: 1 3 9 503 1509 4527 47279 141837 425511 23781337 71344011 214032033