Search a number
-
+
2189964 = 223729231
BaseRepresentation
bin1000010110101010001100
311010021001210
420112222030
51030034324
6114534420
724420510
oct10265214
94107053
102189964
111266397
12897410
135b8a4a
14410140
152d3d29
hex216a8c

2189964 has 72 divisors (see below), whose sum is σ = 6243328. Its totient is φ = 584640.

The previous prime is 2189939. The next prime is 2189981. The reversal of 2189964 is 4699812.

Its product of digits (31104) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70629 + ... + 70659.

22189964 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 2189964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121664).

2189964 is an abundant number, since it is smaller than the sum of its proper divisors (4053364).

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

2189964 is a wasteful number, since it uses less digits than its factorization.

2189964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 2189964 is about 1479.8526953721. The cubic root of 2189964 is about 129.8610744687.

The spelling of 2189964 in words is "two million, one hundred eighty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 31 42 58 62 84 87 93 116 124 174 186 203 217 348 372 406 434 609 651 812 841 868 899 1218 1302 1682 1798 2436 2523 2604 2697 3364 3596 5046 5394 5887 6293 10092 10788 11774 12586 17661 18879 23548 25172 26071 35322 37758 52142 70644 75516 78213 104284 156426 182497 312852 364994 547491 729988 1094982 2189964