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2313216 = 21032251
BaseRepresentation
bin1000110100110000000000
311100112010200
420310300000
51043010331
6121325200
725443033
oct10646000
94315120
102313216
11133aa54
12936800
1362cb89
1444301a
1530a5e6
hex234c00

2313216 has 66 divisors (see below), whose sum is σ = 6705972. Its totient is φ = 768000.

The previous prime is 2313211. The next prime is 2313239. The reversal of 2313216 is 6123132.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (2313211) 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, 9091 + ... + 9341.

22313216 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 2313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352986).

2313216 is an abundant number, since it is smaller than the sum of its proper divisors (4392756).

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

2313216 is a wasteful number, since it uses less digits than its factorization.

2313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2313216 is about 1520.9260337045. The cubic root of 2313216 is about 132.2529584591.

Adding to 2313216 its reverse (6123132), we get a palindrome (8436348).

The spelling of 2313216 in words is "two million, three hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 256 288 384 502 512 576 753 768 1004 1024 1152 1506 1536 2008 2259 2304 3012 3072 4016 4518 4608 6024 8032 9036 9216 12048 16064 18072 24096 32128 36144 48192 64256 72288 96384 128512 144576 192768 257024 289152 385536 578304 771072 1156608 2313216