Search a number
-
+
216957948 = 22318079829
BaseRepresentation
bin11001110111010…
…00001111111100
3120010020121100120
430323220033330
5421020123243
633310054540
75243053314
oct1473501774
9503217316
10216957948
11101515799
12607aa450
1335c43bac
1420b58444
15140a8c83
hexcee83fc

216957948 has 12 divisors (see below), whose sum is σ = 506235240. Its totient is φ = 72319312.

The previous prime is 216957947. The next prime is 216957977. The reversal of 216957948 is 849759612.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 216957948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216957943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9039903 + ... + 9039926.

It is an arithmetic number, because the mean of its divisors is an integer number (42186270).

Almost surely, 2216957948 is an apocalyptic number.

It is an amenable number.

216957948 is an abundant number, since it is smaller than the sum of its proper divisors (289277292).

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

216957948 is a wasteful number, since it uses less digits than its factorization.

216957948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079836 (or 18079834 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 216957948 is about 14729.4924556143. The cubic root of 216957948 is about 600.8856808613.

The spelling of 216957948 in words is "two hundred sixteen million, nine hundred fifty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 18079829 36159658 54239487 72319316 108478974 216957948