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2214128 = 24753373
BaseRepresentation
bin1000011100100011110000
311011111012202
420130203300
51031323003
6115242332
724551120
oct10344360
94144182
102214128
111282564
128a93a8
135c6a47
14418c80
152db088
hex21c8f0

2214128 has 40 divisors (see below), whose sum is σ = 5008608. Its totient is φ = 928512.

The previous prime is 2214103. The next prime is 2214137. The reversal of 2214128 is 8214122.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5750 + ... + 6122.

22214128 is an apocalyptic number.

2214128 is a gapful number since it is divisible by the number (28) 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 2214128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504304).

2214128 is an abundant number, since it is smaller than the sum of its proper divisors (2794480).

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

2214128 is a wasteful number, since it uses less digits than its factorization.

2214128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2214128 is about 1487.9946236462. The cubic root of 2214128 is about 130.3369562393.

The spelling of 2214128 in words is "two million, two hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 373 424 742 746 848 1484 1492 2611 2968 2984 5222 5936 5968 10444 19769 20888 39538 41776 79076 138383 158152 276766 316304 553532 1107064 2214128