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1813684224 = 2133116709
BaseRepresentation
bin110110000011010…
…1010000000000000
311200101202201000210
41230012222000000
512203300343344
6455545314120
762642030052
oct15406520000
94611681023
101813684224
11850860890
12427495940
1322b9a1841
14132c398d2
15a935cdb9
hex6c1aa000

1813684224 has 112 divisors (see below), whose sum is σ = 5276636640. Its totient is φ = 549519360.

The previous prime is 1813684217. The next prime is 1813684261. The reversal of 1813684224 is 4224863181.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266982 + ... + 273690.

Almost surely, 21813684224 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 1813684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638318320).

1813684224 is an abundant number, since it is smaller than the sum of its proper divisors (3462952416).

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

1813684224 is an equidigital number, since it uses as much as digits as its factorization.

1813684224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6725 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 1813684224 is about 42587.3716493516. The cubic root of 1813684224 is about 1219.5152208130.

The spelling of 1813684224 in words is "one billion, eight hundred thirteen million, six hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 6709 8192 8448 11264 12288 13418 16896 20127 22528 24576 26836 33792 40254 45056 53672 67584 73799 80508 90112 107344 135168 147598 161016 214688 221397 270336 295196 322032 429376 442794 590392 644064 858752 885588 1180784 1288128 1717504 1771176 2361568 2576256 3435008 3542352 4723136 5152512 6870016 7084704 9446272 10305024 13740032 14169408 18892544 20610048 27480064 28338816 37785088 41220096 54960128 56677632 75570176 82440192 113355264 151140352 164880384 226710528 302280704 453421056 604561408 906842112 1813684224