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2130219 = 34713172
BaseRepresentation
bin1000001000000100101011
311000020010000
420020010223
51021131334
6113354043
724051360
oct10100453
94006100
102130219
111225513
12868923
135977b0
143d6467
152c1299
hex20812b

2130219 has 60 divisors (see below), whose sum is σ = 4160464. Its totient is φ = 1057536.

The previous prime is 2130209. The next prime is 2130239. The reversal of 2130219 is 9120312.

It is a happy number.

It is not a de Polignac number, because 2130219 - 215 = 2097451 is a prime.

It is a super-2 number, since 2×21302192 = 9075665975922, which contains 22 as substring.

2130219 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2130209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125299 + ... + 125315.

22130219 is an apocalyptic number.

2130219 is a deficient number, since it is larger than the sum of its proper divisors (2030245).

2130219 is a wasteful number, since it uses less digits than its factorization.

2130219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2130219 is about 1459.5269781679. The cubic root of 2130219 is about 128.6692446111.

It can be divided in two parts, 21302 and 19, that added together give a triangular number (21321 = T206).

The spelling of 2130219 in words is "two million, one hundred thirty thousand, two hundred nineteen".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 81 91 117 119 153 189 221 273 289 351 357 459 567 663 819 867 1053 1071 1377 1547 1989 2023 2457 2601 3213 3757 4641 5967 6069 7371 7803 9639 11271 13923 17901 18207 23409 26299 33813 41769 54621 78897 101439 125307 163863 236691 304317 710073 2130219