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2218480 = 245112521
BaseRepresentation
bin1000011101100111110000
311011201011221
420131213300
51031442410
6115314424
724566605
oct10354760
94151157
102218480
111285860
128aba14
135c8a14
1441a6ac
152dc4da
hex21d9f0

2218480 has 40 divisors (see below), whose sum is σ = 5629104. Its totient is φ = 806400.

The previous prime is 2218451. The next prime is 2218519. The reversal of 2218480 is 848122.

2218480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 381 + ... + 2140.

22218480 is an apocalyptic number.

2218480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2218480 is an abundant number, since it is smaller than the sum of its proper divisors (3410624).

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

2218480 is a wasteful number, since it uses less digits than its factorization.

2218480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2539 counting only the distinct ones).

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

The square root of 2218480 is about 1489.4562766325. The cubic root of 2218480 is about 130.4222953585.

The spelling of 2218480 in words is "two million, two hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2521 5042 10084 12605 20168 25210 27731 40336 50420 55462 100840 110924 138655 201680 221848 277310 443696 554620 1109240 2218480