Search a number
-
+
216460032 = 283281849
BaseRepresentation
bin11001110011011…
…10101100000000
3120002022022100020
430321232230000
5420403210112
633251253440
75235610545
oct1471565400
9502268306
10216460032
11101205698
12605aa280
1335acb379
1420a68bcc
151400b48c
hexce6eb00

216460032 has 36 divisors (see below), whose sum is σ = 576101400. Its totient is φ = 72153088.

The previous prime is 216460021. The next prime is 216460039. The reversal of 216460032 is 230064612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 216459984 and 216460011.

It is not an unprimeable number, because it can be changed into a prime (216460039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140157 + ... + 141692.

Almost surely, 2216460032 is an apocalyptic number.

It is an amenable number.

216460032 is an abundant number, since it is smaller than the sum of its proper divisors (359641368).

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

216460032 is an equidigital number, since it uses as much as digits as its factorization.

216460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281868 (or 281854 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 216460032 is about 14712.5807389458. The cubic root of 216460032 is about 600.4256535160.

The spelling of 216460032 in words is "two hundred sixteen million, four hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 281849 563698 845547 1127396 1691094 2254792 3382188 4509584 6764376 9019168 13528752 18038336 27057504 36076672 54115008 72153344 108230016 216460032