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2268216 = 233310501
BaseRepresentation
bin1000101001110000111000
311021020102000
420221300320
51040040331
6120341000
725164606
oct10516070
94236360
102268216
11130a165
12914760
13615552
14430876
152ec0e6
hex229c38

2268216 has 32 divisors (see below), whose sum is σ = 6301200. Its totient is φ = 756000.

The previous prime is 2268209. The next prime is 2268221. The reversal of 2268216 is 6128622.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2268216.

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, 5035 + ... + 5466.

22268216 is an apocalyptic number.

It is an amenable number.

2268216 is an abundant number, since it is smaller than the sum of its proper divisors (4032984).

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

2268216 is a wasteful number, since it uses less digits than its factorization.

2268216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516 (or 10506 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2268216 is about 1506.0597597705. The cubic root of 2268216 is about 131.3897450348.

The spelling of 2268216 in words is "two million, two hundred sixty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10501 21002 31503 42004 63006 84008 94509 126012 189018 252024 283527 378036 567054 756072 1134108 2268216