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216239152 = 24195313421
BaseRepresentation
bin11001110001110…
…00110000110000
3120001220002100111
430320320300300
5420324123102
633242431104
75234000563
oct1470706060
9501802314
10216239152
11101074748
1260502494
1335a5197c
1420a0c4da
1513eb5cd7
hexce38c30

216239152 has 40 divisors (see below), whose sum is σ = 449368560. Its totient is φ = 100488960.

The previous prime is 216239141. The next prime is 216239159. The reversal of 216239152 is 251932612.

It is a super-3 number, since 3×2162391523 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (216239159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9402 + ... + 22822.

It is an arithmetic number, because the mean of its divisors is an integer number (11234214).

Almost surely, 2216239152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216239152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224684280).

216239152 is an abundant number, since it is smaller than the sum of its proper divisors (233129408).

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

216239152 is a wasteful number, since it uses less digits than its factorization.

216239152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13501 (or 13495 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 216239152 is about 14705.0723221615. The cubic root of 216239152 is about 600.2213553633.

It can be divided in two parts, 2162 and 39152, that added together give a palindrome (41314).

The spelling of 216239152 in words is "two hundred sixteen million, two hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 4028 8056 13421 16112 26842 53684 107368 214736 254999 509998 711313 1019996 1422626 2039992 2845252 4079984 5690504 11381008 13514947 27029894 54059788 108119576 216239152