Search a number
-
+
216246150 = 23252661727
BaseRepresentation
bin11001110001110…
…10011110000110
3120001220102221200
430320322132012
5420324334100
633242523330
75234030151
oct1470723606
9501812850
10216246150
11101079a2a
1260506546
1335a54c03
1420a10c98
1513eb7e00
hexce3a786

216246150 has 72 divisors (see below), whose sum is σ = 582660624. Its totient is φ = 57499200.

The previous prime is 216246133. The next prime is 216246157. The reversal of 216246150 is 51642612.

216246150 is a `hidden beast` number, since 21 + 6 + 24 + 615 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216246157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297087 + ... + 297813.

Almost surely, 2216246150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216246150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291330312).

216246150 is an abundant number, since it is smaller than the sum of its proper divisors (366414474).

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

216246150 is a wasteful number, since it uses less digits than its factorization.

216246150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216246150 is about 14705.3102653429. The cubic root of 216246150 is about 600.2278301448.

Adding to 216246150 its reverse (51642612), we get a palindrome (267888762).

The spelling of 216246150 in words is "two hundred sixteen million, two hundred forty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 661 727 1322 1454 1983 2181 3305 3635 3966 4362 5949 6543 6610 7270 9915 10905 11898 13086 16525 18175 19830 21810 29745 32715 33050 36350 49575 54525 59490 65430 99150 109050 148725 163575 297450 327150 480547 961094 1441641 2402735 2883282 4324923 4805470 7208205 8649846 12013675 14416410 21624615 24027350 36041025 43249230 72082050 108123075 216246150