Search a number
-
+
2189940 = 22351719113
BaseRepresentation
bin1000010110101001110100
311010021000220
420112221310
51030034230
6114534340
724420444
oct10265164
94107026
102189940
111266375
128973b0
135b8a2c
14410124
152d3d10
hex216a74

2189940 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 516096.

The previous prime is 2189939. The next prime is 2189981. The reversal of 2189940 is 499812.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19324 + ... + 19436.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22189940 is an apocalyptic number.

2189940 is a gapful number since it is divisible by the number (20) 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 2189940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2189940 is an abundant number, since it is smaller than the sum of its proper divisors (4704780).

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

2189940 is a wasteful number, since it uses less digits than its factorization.

2189940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2189940 is about 1479.8445864347. The cubic root of 2189940 is about 129.8606000808.

The spelling of 2189940 in words is "two million, one hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 113 114 170 190 204 226 228 255 285 323 339 340 380 452 510 565 570 646 678 969 1020 1130 1140 1292 1356 1615 1695 1921 1938 2147 2260 3230 3390 3842 3876 4294 4845 5763 6441 6460 6780 7684 8588 9605 9690 10735 11526 12882 19210 19380 21470 23052 25764 28815 32205 36499 38420 42940 57630 64410 72998 109497 115260 128820 145996 182495 218994 364990 437988 547485 729980 1094970 2189940