Search a number
-
+
216832848 = 24331145721
BaseRepresentation
bin11001110110010…
…01101101010000
3120010000020202020
430323021231100
5421002122343
633303251440
75242022511
oct1473115520
9503006666
10216832848
1110143a801
1260749b80
1335bcbc7b
1420b24a08
1514081b83
hexcec9b50

216832848 has 40 divisors (see below), whose sum is σ = 578224896. Its totient is φ = 69945600.

The previous prime is 216832831. The next prime is 216832867. The reversal of 216832848 is 848238612.

It is a happy number.

216832848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2168328482 = 94032967943582208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71373 + ... + 74348.

Almost surely, 2216832848 is an apocalyptic number.

It is an amenable number.

216832848 is an abundant number, since it is smaller than the sum of its proper divisors (361392048).

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

216832848 is a wasteful number, since it uses less digits than its factorization.

216832848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145763 (or 145757 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 216832848 is about 14725.2452611153. The cubic root of 216832848 is about 600.7701665384.

It can be divided in two parts, 21683 and 2848, that added together give a triangular number (24531 = T221).

The spelling of 216832848 in words is "two hundred sixteen million, eight hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 145721 291442 437163 582884 874326 1165768 1748652 2331536 3497304 4517351 6994608 9034702 13552053 18069404 27104106 36138808 54208212 72277616 108416424 216832848