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2214480 = 24359227
BaseRepresentation
bin1000011100101001010000
311011111200210
420130221100
51031330410
6115244120
724552132
oct10345120
94144623
102214480
111282854
128a9640
135c6c58
14419052
152db220
hex21ca50

2214480 has 40 divisors (see below), whose sum is σ = 6865632. Its totient is φ = 590464.

The previous prime is 2214479. The next prime is 2214481. The reversal of 2214480 is 844122.

It is an interprime number because it is at equal distance from previous prime (2214479) and next prime (2214481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4374 + ... + 4853.

22214480 is an apocalyptic number.

2214480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214480 is an abundant number, since it is smaller than the sum of its proper divisors (4651152).

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

2214480 is a wasteful number, since it uses less digits than its factorization.

2214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9243 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2214480 is about 1488.1128989428. The cubic root of 2214480 is about 130.3438628225.

The spelling of 2214480 in words is "two million, two hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9227 18454 27681 36908 46135 55362 73816 92270 110724 138405 147632 184540 221448 276810 369080 442896 553620 738160 1107240 2214480