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216316944 = 24321502201
BaseRepresentation
bin11001110010010…
…11110000010000
3120002001001001200
430321023300100
5420334120234
633244231200
75234443434
oct1471136020
9502031050
10216316944
11101118138
126053b500
1335a7b1bc
1420a2c9c4
1513ecdd99
hexce4bc10

216316944 has 30 divisors (see below), whose sum is σ = 605387406. Its totient is φ = 72105600.

The previous prime is 216316939. The next prime is 216316949. The reversal of 216316944 is 449613612.

It is an interprime number because it is at equal distance from previous prime (216316939) and next prime (216316949).

It can be written as a sum of positive squares in only one way, i.e., 209091600 + 7225344 = 14460^2 + 2688^2 .

It is a super-2 number, since 2×2163169442 = 93586040522998272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 216316899 and 216316908.

It is not an unprimeable number, because it can be changed into a prime (216316949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 750957 + ... + 751244.

Almost surely, 2216316944 is an apocalyptic number.

216316944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216316944 is an abundant number, since it is smaller than the sum of its proper divisors (389070462).

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

216316944 is a wasteful number, since it uses less digits than its factorization.

216316944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502215 (or 1502206 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 216316944 is about 14707.7171580093. The cubic root of 216316944 is about 600.2933232458.

The spelling of 216316944 in words is "two hundred sixteen million, three hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1502201 3004402 4506603 6008804 9013206 12017608 13519809 18026412 24035216 27039618 36052824 54079236 72105648 108158472 216316944