Search a number
-
+
22185540 = 223251319499
BaseRepresentation
bin101010010100…
…0011001000100
31112202010211200
41110220121010
521134414130
62111302500
7356400606
oct124503104
945663750
1022185540
1111583363
12751aa30
13479a150
142d37176
151e33760
hex1528644

22185540 has 144 divisors (see below), whose sum is σ = 76440000. Its totient is φ = 5163264.

The previous prime is 22185529. The next prime is 22185557. The reversal of 22185540 is 4558122.

It is a happy 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, 44211 + ... + 44709.

Almost surely, 222185540 is an apocalyptic number.

22185540 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 22185540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38220000).

22185540 is an abundant number, since it is smaller than the sum of its proper divisors (54254460).

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

22185540 is a wasteful number, since it uses less digits than its factorization.

22185540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 22185540 is about 4710.1528637614. The cubic root of 22185540 is about 280.9894416485.

The spelling of 22185540 in words is "twenty-two million, one hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 499 570 585 684 741 780 855 988 998 1140 1170 1235 1482 1497 1710 1996 2223 2340 2470 2495 2964 2994 3420 3705 4446 4491 4940 4990 5988 6487 7410 7485 8892 8982 9481 9980 11115 12974 14820 14970 17964 18962 19461 22230 22455 25948 28443 29940 32435 37924 38922 44460 44910 47405 56886 58383 64870 77844 85329 89820 94810 97305 113772 116766 123253 129740 142215 170658 189620 194610 233532 246506 284430 291915 341316 369759 389220 426645 493012 568860 583830 616265 739518 853290 1109277 1167660 1232530 1479036 1706580 1848795 2218554 2465060 3697590 4437108 5546385 7395180 11092770 22185540