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2243916 = 223379263
BaseRepresentation
bin1000100011110101001100
311020000002000
420203311030
51033301131
6120032300
725034013
oct10436514
94200060
102243916
1112a2984
12902690
1360747c
14425a7a
152e4ce6
hex223d4c

2243916 has 48 divisors (see below), whose sum is σ = 5913600. Its totient is φ = 735696.

The previous prime is 2243911. The next prime is 2243959. The reversal of 2243916 is 6193422.

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 2243916.

It is not an unprimeable number, because it can be changed into a prime (2243911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8401 + ... + 8663.

It is an arithmetic number, because the mean of its divisors is an integer number (123200).

22243916 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 2243916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956800).

2243916 is an abundant number, since it is smaller than the sum of its proper divisors (3669684).

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

2243916 is a wasteful number, since it uses less digits than its factorization.

2243916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2243916 is about 1497.9706272154. The cubic root of 2243916 is about 130.9188550167.

The spelling of 2243916 in words is "two million, two hundred forty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 263 316 474 526 711 789 948 1052 1422 1578 2133 2367 2844 3156 4266 4734 7101 8532 9468 14202 20777 28404 41554 62331 83108 124662 186993 249324 373986 560979 747972 1121958 2243916