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2188872 = 2332743101
BaseRepresentation
bin1000010110011001001000
311010012120100
420112121020
51030020442
6114525400
724414360
oct10263110
94105510
102188872
111265594
12896860
135b83ba
1440d9a0
152d384c
hex216648

2188872 has 96 divisors (see below), whose sum is σ = 7001280. Its totient is φ = 604800.

The previous prime is 2188871. The next prime is 2188873. The reversal of 2188872 is 2788812.

It is an interprime number because it is at equal distance from previous prime (2188871) and next prime (2188873).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2188871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21622 + ... + 21722.

It is an arithmetic number, because the mean of its divisors is an integer number (72930).

22188872 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 2188872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500640).

2188872 is an abundant number, since it is smaller than the sum of its proper divisors (4812408).

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

2188872 is a wasteful number, since it uses less digits than its factorization.

2188872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 2188872 is about 1479.4836937256. The cubic root of 2188872 is about 129.8394863101.

The spelling of 2188872 in words is "two million, one hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 101 126 129 168 172 202 252 258 301 303 344 387 404 504 516 602 606 707 774 808 903 909 1032 1204 1212 1414 1548 1806 1818 2121 2408 2424 2709 2828 3096 3612 3636 4242 4343 5418 5656 6363 7224 7272 8484 8686 10836 12726 13029 16968 17372 21672 25452 26058 30401 34744 39087 50904 52116 60802 78174 91203 104232 121604 156348 182406 243208 273609 312696 364812 547218 729624 1094436 2188872