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214109118 = 23217279521
BaseRepresentation
bin11001100001100…
…00101110111110
3112220212212111100
430300300232332
5414302442433
633125033530
75206616556
oct1460605676
9486785440
10214109118
11aa94a393
125b8558a6
13354872b2
1420616166
1513be4b13
hexcc30bbe

214109118 has 72 divisors (see below), whose sum is σ = 499992480. Its totient is φ = 66193920.

The previous prime is 214109113. The next prime is 214109143. The reversal of 214109118 is 811901412.

It is a junction number, because it is equal to n+sod(n) for n = 214109091 and 214109100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214109113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 410698 + ... + 411218.

It is an arithmetic number, because the mean of its divisors is an integer number (6944340).

Almost surely, 2214109118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214109118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249996240).

214109118 is an abundant number, since it is smaller than the sum of its proper divisors (285883362).

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

214109118 is a wasteful number, since it uses less digits than its factorization.

214109118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 214109118 is about 14632.4679394831. The cubic root of 214109118 is about 598.2440494090.

The spelling of 214109118 in words is "two hundred fourteen million, one hundred nine thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 153 158 237 289 306 474 521 578 711 867 1042 1343 1422 1563 1734 2601 2686 3126 4029 4689 5202 8058 8857 9378 12087 17714 22831 24174 26571 41159 45662 53142 68493 79713 82318 123477 136986 150569 159426 205479 246954 301138 370431 410958 451707 699703 740862 903414 1355121 1399406 2099109 2710242 4198218 6297327 11894951 12594654 23789902 35684853 71369706 107054559 214109118