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216100144 = 24137114633
BaseRepresentation
bin11001110000101…
…10110100110000
3120001122000200001
430320112310300
5420310201034
633235435344
75232551401
oct1470266460
9501560601
10216100144
11100a8a267
1260455b54
1335a03610
14209b39a8
1513e89a14
hexce16d30

216100144 has 40 divisors (see below), whose sum is σ = 457283232. Its totient is φ = 98327040.

The previous prime is 216100139. The next prime is 216100147. The reversal of 216100144 is 441001612.

It is not an unprimeable number, because it can be changed into a prime (216100147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7452 + ... + 22084.

Almost surely, 2216100144 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 216100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228641616).

216100144 is an abundant number, since it is smaller than the sum of its proper divisors (241183088).

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

216100144 is a wasteful number, since it uses less digits than its factorization.

216100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14725 (or 14719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 216100144 is about 14700.3450299644. The cubic root of 216100144 is about 600.0927115995.

Adding to 216100144 its reverse (441001612), we get a palindrome (657101756).

The spelling of 216100144 in words is "two hundred sixteen million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 3692 7384 14633 14768 29266 58532 117064 190229 234128 380458 760916 1038943 1521832 2077886 3043664 4155772 8311544 13506259 16623088 27012518 54025036 108050072 216100144