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214681032 = 233217175393
BaseRepresentation
bin11001100101111…
…00010111001000
3112221221221000100
430302330113020
5414424243112
633145205400
75214521136
oct1462742710
9487857010
10214681032
11100200045
125ba90860
13356276c7
1420724756
1513ca92dc
hexccbc5c8

214681032 has 48 divisors (see below), whose sum is σ = 615632940. Its totient is φ = 67350528.

The previous prime is 214681013. The next prime is 214681037. The reversal of 214681032 is 230186412.

214681032 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 2 ways, for example, as 214153956 + 527076 = 14634^2 + 726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214680987 and 214681005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214681037) 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, 86473 + ... + 88920.

Almost surely, 2214681032 is an apocalyptic number.

It is an amenable number.

214681032 is an abundant number, since it is smaller than the sum of its proper divisors (400951908).

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

214681032 is a wasteful number, since it uses less digits than its factorization.

214681032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175422 (or 175415 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 214681032 is about 14651.9975429973. The cubic root of 214681032 is about 598.7762390455.

It can be divided in two parts, 21468 and 1032, that added together give a square (22500 = 1502).

The spelling of 214681032 in words is "two hundred fourteen million, six hundred eighty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 175393 350786 526179 701572 1052358 1403144 1578537 2104716 2981681 3157074 4209432 5963362 6314148 8945043 11926724 12628296 17890086 23853448 26835129 35780172 53670258 71560344 107340516 214681032