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2091314214 = 234111398443
BaseRepresentation
bin111110010100110…
…1110110000100110
312101202011202210000
41330221232300212
513240334023324
6543304042130
7102552606663
oct17451566046
95352152700
102091314214
11983546360
124a4463346
13274369542
1415ba68a6a
15c38ed9c9
hex7ca6ec26

2091314214 has 80 divisors (see below), whose sum is σ = 5149488960. Its totient is φ = 629097840.

The previous prime is 2091314201. The next prime is 2091314243. The reversal of 2091314214 is 4124131902.

It is a happy number.

2091314214 is a `hidden beast` number, since 209 + 1 + 31 + 421 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243477 + ... + 251919.

It is an arithmetic number, because the mean of its divisors is an integer number (64368612).

Almost surely, 22091314214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2091314214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574744480).

2091314214 is an abundant number, since it is smaller than the sum of its proper divisors (3058174746).

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

2091314214 is a wasteful number, since it uses less digits than its factorization.

2091314214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8607 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2091314214 is about 45730.8890576162. The cubic root of 2091314214 is about 1278.8111956335.

The spelling of 2091314214 in words is "two billion, ninety-one million, three hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 139 162 198 278 297 417 594 834 891 1251 1529 1782 2502 3058 3753 4587 7506 8443 9174 11259 13761 16886 22518 25329 27522 41283 50658 75987 82566 92873 123849 151974 185746 227961 247698 278619 455922 557238 683883 835857 1173577 1367766 1671714 2347154 2507571 3520731 5015142 7041462 7522713 10562193 12909347 15045426 21124386 25818694 31686579 38728041 63373158 77456082 95059737 116184123 190119474 232368246 348552369 697104738 1045657107 2091314214