Search a number
-
+
216255952 = 24113473541
BaseRepresentation
bin11001110001111…
…00110111010000
3120001220221101201
430320330313100
5420330142302
633243040544
75234100553
oct1470746720
9501827351
10216255952
11101086330
1260510154
1335a59503
1420a1469a
1513ebac87
hexce3cdd0

216255952 has 40 divisors (see below), whose sum is σ = 458533152. Its totient is φ = 97987200.

The previous prime is 216255947. The next prime is 216255961. The reversal of 216255952 is 259552612.

216255952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 59302 + ... + 62842.

Almost surely, 2216255952 is an apocalyptic number.

216255952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216255952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229266576).

216255952 is an abundant number, since it is smaller than the sum of its proper divisors (242277200).

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

216255952 is a wasteful number, since it uses less digits than its factorization.

216255952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3901 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The square root of 216255952 is about 14705.6435425316. The cubic root of 216255952 is about 600.2368990450.

The spelling of 216255952 in words is "two hundred sixteen million, two hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 347 694 1388 2776 3541 3817 5552 7082 7634 14164 15268 28328 30536 38951 56656 61072 77902 155804 311608 623216 1228727 2457454 4914908 9829816 13515997 19659632 27031994 54063988 108127976 216255952