Search a number
-
+
216241616 = 24313711783
BaseRepresentation
bin11001110001110…
…01010111010000
3120001220012201202
430320321113100
5420324212431
633242450332
75234011013
oct1470712720
9501805652
10216241616
11101076588
12605039a8
1335a52b26
1420a0d37a
1513eb68cb
hexce395d0

216241616 has 40 divisors (see below), whose sum is σ = 444209664. Its totient is φ = 101796480.

The previous prime is 216241591. The next prime is 216241621. The reversal of 216241616 is 616142612.

216241616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 12461 + ... + 24243.

Almost surely, 2216241616 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 216241616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222104832).

216241616 is an abundant number, since it is smaller than the sum of its proper divisors (227968048).

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

216241616 is a wasteful number, since it uses less digits than its factorization.

216241616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11859 (or 11853 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 216241616 is about 14705.1561025376. The cubic root of 216241616 is about 600.2236351537.

The spelling of 216241616 in words is "two hundred sixteen million, two hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 1147 2294 4588 9176 11783 18352 23566 47132 94264 188528 365273 435971 730546 871942 1461092 1743884 2922184 3487768 5844368 6975536 13515101 27030202 54060404 108120808 216241616