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2214380 = 225715817
BaseRepresentation
bin1000011100100111101100
311011111120002
420130213230
51031330010
6115243432
724551630
oct10344754
94144502
102214380
111282773
128a9578
135c6bac
14418dc0
152db1a5
hex21c9ec

2214380 has 24 divisors (see below), whose sum is σ = 5314848. Its totient is φ = 759168.

The previous prime is 2214379. The next prime is 2214383. The reversal of 2214380 is 834122.

2214380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2214383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7769 + ... + 8048.

It is an arithmetic number, because the mean of its divisors is an integer number (221452).

22214380 is an apocalyptic number.

2214380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214380 is an abundant number, since it is smaller than the sum of its proper divisors (3100468).

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

2214380 is a wasteful number, since it uses less digits than its factorization.

2214380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15833 (or 15831 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2214380 is about 1488.0792989623. The cubic root of 2214380 is about 130.3419007994.

The spelling of 2214380 in words is "two million, two hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 15817 31634 63268 79085 110719 158170 221438 316340 442876 553595 1107190 2214380