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2214880 = 255109127
BaseRepresentation
bin1000011100101111100000
311011112020121
420130233200
51031334010
6115250024
724553243
oct10345740
94145217
102214880
111283088
128a9914
135c71a5
1441925a
152db3da
hex21cbe0

2214880 has 48 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 870912.

The previous prime is 2214869. The next prime is 2214907. The reversal of 2214880 is 884122.

It is an Ulam number.

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, 17377 + ... + 17503.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

22214880 is an apocalyptic number.

2214880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

2214880 is an abundant number, since it is smaller than the sum of its proper divisors (3107360).

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

2214880 is a wasteful number, since it uses less digits than its factorization.

2214880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2214880 is about 1488.2472912792. The cubic root of 2214880 is about 130.3517103241.

The spelling of 2214880 in words is "two million, two hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 127 160 218 254 436 508 545 635 872 1016 1090 1270 1744 2032 2180 2540 3488 4064 4360 5080 8720 10160 13843 17440 20320 27686 55372 69215 110744 138430 221488 276860 442976 553720 1107440 2214880