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2214108 = 2233131983
BaseRepresentation
bin1000011100100011011100
311011111012000
420130203130
51031322413
6115242300
724551061
oct10344334
94144160
102214108
111282546
128a9390
135c6a30
14418c68
152db073
hex21c8dc

2214108 has 96 divisors (see below), whose sum is σ = 6585600. Its totient is φ = 637632.

The previous prime is 2214103. The next prime is 2214137. The reversal of 2214108 is 8014122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26635 + ... + 26717.

It is an arithmetic number, because the mean of its divisors is an integer number (68600).

22214108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292800).

2214108 is an abundant number, since it is smaller than the sum of its proper divisors (4371492).

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

2214108 is a wasteful number, since it uses less digits than its factorization.

2214108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2214108 is about 1487.9879031766. The cubic root of 2214108 is about 130.3365637979.

The spelling of 2214108 in words is "two million, two hundred fourteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 83 108 114 117 156 166 171 228 234 247 249 332 342 351 468 494 498 513 684 702 741 747 988 996 1026 1079 1404 1482 1494 1577 2052 2158 2223 2241 2964 2988 3154 3237 4316 4446 4482 4731 6308 6474 6669 8892 8964 9462 9711 12948 13338 14193 18924 19422 20501 26676 28386 29133 38844 41002 42579 56772 58266 61503 82004 85158 116532 123006 170316 184509 246012 369018 553527 738036 1107054 2214108