Search a number
-
+
2214384 = 24346133
BaseRepresentation
bin1000011100100111110000
311011111120020
420130213300
51031330014
6115243440
724551634
oct10344760
94144506
102214384
111282777
128a9580
135c6bb3
14418dc4
152db1a9
hex21c9f0

2214384 has 20 divisors (see below), whose sum is σ = 5720616. Its totient is φ = 738112.

The previous prime is 2214383. The next prime is 2214473. The reversal of 2214384 is 4834122.

2214384 = T487 + T488 + ... + T504.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23019 + ... + 23114.

22214384 is an apocalyptic number.

2214384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2214384 is an abundant number, since it is smaller than the sum of its proper divisors (3506232).

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

2214384 is a wasteful number, since it uses less digits than its factorization.

2214384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46144 (or 46138 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2214384 is about 1488.0806429760. The cubic root of 2214384 is about 130.3419792815.

The spelling of 2214384 in words is "two million, two hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 46133 92266 138399 184532 276798 369064 553596 738128 1107192 2214384