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2185990656 = 29323431439
BaseRepresentation
bin1000001001001011…
…1001001000000000
312122100022211102220
42002102321020000
513434103200111
61000525211040
7105112420413
oct20222711000
95570284386
102185990656
11a21a31153
12510100a80
1328ab67bc5
1416a471b7a
15cbda0e06
hex824b9200

2185990656 has 160 divisors (see below), whose sum is σ = 6222458880. Its totient is φ = 680300544.

The previous prime is 2185990649. The next prime is 2185990657. The reversal of 2185990656 is 6560995812.

It is a junction number, because it is equal to n+sod(n) for n = 2185990599 and 2185990608.

It is not an unprimeable number, because it can be changed into a prime (2185990657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518385 + ... + 1519823.

It is an arithmetic number, because the mean of its divisors is an integer number (38890368).

Almost surely, 22185990656 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 2185990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111229440).

2185990656 is an abundant number, since it is smaller than the sum of its proper divisors (4036468224).

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

2185990656 is a wasteful number, since it uses less digits than its factorization.

2185990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 2185990656 is about 46754.5789843091. The cubic root of 2185990656 is about 1297.8248944898.

The spelling of 2185990656 in words is "two billion, one hundred eighty-five million, nine hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 128 129 138 172 184 192 256 258 276 344 368 384 512 516 552 688 736 768 989 1032 1104 1376 1439 1472 1536 1978 2064 2208 2752 2878 2944 2967 3956 4128 4317 4416 5504 5756 5888 5934 7912 8256 8634 8832 11008 11512 11776 11868 15824 16512 17268 17664 22016 23024 23736 31648 33024 33097 34536 35328 46048 47472 61877 63296 66048 66194 69072 92096 94944 99291 123754 126592 132388 138144 184192 185631 189888 198582 247508 253184 264776 276288 368384 371262 379776 397164 495016 506368 529552 552576 736768 742524 759552 794328 990032 1059104 1105152 1423171 1485048 1519104 1588656 1980064 2118208 2210304 2846342 2970096 3177312 3960128 4236416 4269513 5692684 5940192 6354624 7920256 8472832 8539026 11385368 11880384 12709248 15840512 16945664 17078052 22770736 23760768 25418496 31681024 34156104 45541472 47521536 50836992 68312208 91082944 95043072 136624416 182165888 273248832 364331776 546497664 728663552 1092995328 2185990656