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2214940 = 2257131217
BaseRepresentation
bin1000011100110000011100
311011112022211
420130300130
51031334230
6115250204
724553360
oct10346034
94145284
102214940
111283132
128a9964
135c7220
144192a0
152db42a
hex21cc1c

2214940 has 48 divisors (see below), whose sum is σ = 5729472. Its totient is φ = 700416.

The previous prime is 2214937. The next prime is 2214941. The reversal of 2214940 is 494122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1212 + ... + 2428.

It is an arithmetic number, because the mean of its divisors is an integer number (119364).

22214940 is an apocalyptic number.

2214940 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 2214940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864736).

2214940 is an abundant number, since it is smaller than the sum of its proper divisors (3514532).

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

2214940 is a wasteful number, since it uses less digits than its factorization.

2214940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2214940 is about 1488.2674490830. The cubic root of 2214940 is about 130.3528873679.

The spelling of 2214940 in words is "two million, two hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1217 1820 2434 4868 6085 8519 12170 15821 17038 24340 31642 34076 42595 63284 79105 85190 110747 158210 170380 221494 316420 442988 553735 1107470 2214940