Search a number
-
+
214438032 = 24321489153
BaseRepresentation
bin11001100100000…
…01000010010000
3112221111120200100
430302001002100
5414344004112
633140052400
75212456524
oct1462010220
9487446610
10214438032
11100054516
125b994100
1335570c13
142069dd84
1513c5c2dc
hexcc81090

214438032 has 30 divisors (see below), whose sum is σ = 600129062. Its totient is φ = 71479296.

The previous prime is 214438027. The next prime is 214438057. The reversal of 214438032 is 230834412.

It can be written as a sum of positive squares in only one way, i.e., 182898576 + 31539456 = 13524^2 + 5616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214437987 and 214438005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 744433 + ... + 744720.

Almost surely, 2214438032 is an apocalyptic number.

It is an amenable number.

214438032 is an abundant number, since it is smaller than the sum of its proper divisors (385691030).

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

214438032 is a wasteful number, since it uses less digits than its factorization.

214438032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489167 (or 1489158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 214438032 is about 14643.7028104233. The cubic root of 214438032 is about 598.5502331147.

It can be divided in two parts, 2144380 and 32, that added together give a palindrome (2144412).

The spelling of 214438032 in words is "two hundred fourteen million, four hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1489153 2978306 4467459 5956612 8934918 11913224 13402377 17869836 23826448 26804754 35739672 53609508 71479344 107219016 214438032