Search a number
-
+
2189430 = 23551753
BaseRepresentation
bin1000010110100001110110
311010020100000
420112201312
51030030210
6114532130
724416115
oct10264166
94106300
102189430
111265a51
12897046
135b8729
1440dc7c
152d3ac0
hex216876

2189430 has 96 divisors (see below), whose sum is σ = 6368544. Its totient is φ = 539136.

The previous prime is 2189419. The next prime is 2189459. The reversal of 2189430 is 349812.

2189430 = T499 + T500 + ... + T515.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2189394 and 2189403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41284 + ... + 41336.

It is an arithmetic number, because the mean of its divisors is an integer number (66339).

22189430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184272).

2189430 is an abundant number, since it is smaller than the sum of its proper divisors (4179114).

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

2189430 is a wasteful number, since it uses less digits than its factorization.

2189430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2189430 is about 1479.6722610092. The cubic root of 2189430 is about 129.8505185188.

The spelling of 2189430 in words is "two million, one hundred eighty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 53 54 81 85 90 102 106 135 153 159 162 170 243 255 265 270 306 318 405 459 477 486 510 530 765 795 810 901 918 954 1215 1377 1431 1530 1590 1802 2295 2385 2430 2703 2754 2862 4131 4293 4505 4590 4770 5406 6885 7155 8109 8262 8586 9010 12879 13515 13770 14310 16218 20655 21465 24327 25758 27030 40545 41310 42930 48654 64395 72981 81090 121635 128790 145962 218943 243270 364905 437886 729810 1094715 2189430