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2188104 = 2331731173
BaseRepresentation
bin1000010110001101001000
311010011111220
420112031020
51030004404
6114522040
724412212
oct10261510
94104456
102188104
111264a56
12896320
135b7c49
1440d5b2
152d34d9
hex216348

2188104 has 64 divisors (see below), whose sum is σ = 6013440. Its totient is φ = 660480.

The previous prime is 2188099. The next prime is 2188111. The reversal of 2188104 is 4018812.

It is a super-2 number, since 2×21881042 = 9575598229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12562 + ... + 12734.

It is an arithmetic number, because the mean of its divisors is an integer number (93960).

22188104 is an apocalyptic number.

2188104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2188104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006720).

2188104 is an abundant number, since it is smaller than the sum of its proper divisors (3825336).

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

2188104 is a wasteful number, since it uses less digits than its factorization.

2188104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 2188104 is about 1479.2241209499. The cubic root of 2188104 is about 129.8242991285.

The spelling of 2188104 in words is "two million, one hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 173 186 204 248 346 372 408 519 527 692 744 1038 1054 1384 1581 2076 2108 2941 3162 4152 4216 5363 5882 6324 8823 10726 11764 12648 16089 17646 21452 23528 32178 35292 42904 64356 70584 91171 128712 182342 273513 364684 547026 729368 1094052 2188104