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2214135 = 34571171
BaseRepresentation
bin1000011100100011110111
311011111020000
420130203313
51031323020
6115242343
724551130
oct10344367
94144200
102214135
111282570
128a93b3
135c6a51
14418c87
152db090
hex21c8f7

2214135 has 80 divisors (see below), whose sum is σ = 5018112. Its totient is φ = 907200.

The previous prime is 2214103. The next prime is 2214137. The reversal of 2214135 is 5314122.

It is not a de Polignac number, because 2214135 - 25 = 2214103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31150 + ... + 31220.

22214135 is an apocalyptic number.

2214135 is an abundant number, since it is smaller than the sum of its proper divisors (2803977).

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

2214135 is a wasteful number, since it uses less digits than its factorization.

2214135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2214135 is about 1487.9969758034. The cubic root of 2214135 is about 130.3370935933.

Adding to 2214135 its reverse (5314122), we get a palindrome (7528257).

It can be divided in two parts, 221 and 4135, that added together give a square (4356 = 662).

The spelling of 2214135 in words is "two million, two hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 71 77 81 99 105 135 165 189 213 231 297 315 355 385 405 495 497 567 639 693 781 891 945 1065 1155 1485 1491 1917 2079 2343 2485 2835 3195 3465 3905 4455 4473 5467 5751 6237 7029 7455 9585 10395 11715 13419 16401 21087 22365 27335 28755 31185 35145 40257 49203 63261 67095 82005 105435 147609 201285 246015 316305 442827 738045 2214135