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2216952 = 233241751
BaseRepresentation
bin1000011101001111111000
311011122002100
420131033320
51031420302
6115303400
724562263
oct10351770
94148070
102216952
1112846a1
128aab60
135c810a
14419cda
152dbd1c
hex21d3f8

2216952 has 48 divisors (see below), whose sum is σ = 6158880. Its totient is φ = 720000.

The previous prime is 2216941. The next prime is 2216957. The reversal of 2216952 is 2596122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2577 + ... + 3327.

It is an arithmetic number, because the mean of its divisors is an integer number (128310).

22216952 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 2216952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079440).

2216952 is an abundant number, since it is smaller than the sum of its proper divisors (3941928).

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

2216952 is a wasteful number, since it uses less digits than its factorization.

2216952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 797 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2216952 is about 1488.9432494222. The cubic root of 2216952 is about 130.3923452668.

The spelling of 2216952 in words is "two million, two hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 751 984 1476 1502 2253 2952 3004 4506 6008 6759 9012 13518 18024 27036 30791 54072 61582 92373 123164 184746 246328 277119 369492 554238 738984 1108476 2216952