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2189712 = 2437419
BaseRepresentation
bin1000010110100110010000
311010020201110
420112212100
51030032322
6114533320
724420000
oct10264620
94106643
102189712
111266188
12897240
135b88b5
14410000
152d3c0c
hex216990

2189712 has 100 divisors (see below), whose sum is σ = 6946480. Its totient is φ = 592704.

The previous prime is 2189699. The next prime is 2189713. The reversal of 2189712 is 2179812.

2189712 is nontrivially palindromic in base 13.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2189712.

It is not an unprimeable number, because it can be changed into a prime (2189713) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115239 + ... + 115257.

22189712 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 2189712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473240).

2189712 is an abundant number, since it is smaller than the sum of its proper divisors (4756768).

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

2189712 is an equidigital number, since it uses as much as digits as its factorization.

2189712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 31 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 2189712 is about 1479.7675493131. The cubic root of 2189712 is about 129.8560932230.

The spelling of 2189712 in words is "two million, one hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 343 392 399 456 532 588 686 784 798 912 931 1029 1064 1176 1372 1596 1862 2058 2128 2352 2401 2744 2793 3192 3724 4116 4802 5488 5586 6384 6517 7203 7448 8232 9604 11172 13034 14406 14896 16464 19208 19551 22344 26068 28812 38416 39102 44688 45619 52136 57624 78204 91238 104272 115248 136857 156408 182476 273714 312816 364952 547428 729904 1094856 2189712