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2230862820 = 2235671673323
BaseRepresentation
bin1000010011111000…
…0100001111100100
312202110202120110220
42010332010033210
514032100102240
61005211044340
7106166010144
oct20476041744
95673676426
102230862820
11a4529a28a
125231406b0
13297249294
141723d2924
15d0cb65d0
hex84f843e4

2230862820 has 96 divisors (see below), whose sum is σ = 6379527168. Its totient is φ = 582333312.

The previous prime is 2230862819. The next prime is 2230862831. The reversal of 2230862820 is 282680322.

It is a super-3 number, since 3×22308628203 (a number of 29 digits) contains 333 as substring.

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, 669679 + ... + 673001.

It is an arithmetic number, because the mean of its divisors is an integer number (66453408).

Almost surely, 22230862820 is an apocalyptic number.

2230862820 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 2230862820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189763584).

2230862820 is an abundant number, since it is smaller than the sum of its proper divisors (4148664348).

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

2230862820 is a wasteful number, since it uses less digits than its factorization.

2230862820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2230862820 is about 47232.0105436980. The cubic root of 2230862820 is about 1306.6450328167.

The spelling of 2230862820 in words is "two billion, two hundred thirty million, eight hundred sixty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 167 201 268 334 335 402 501 668 670 804 835 1002 1005 1340 1670 2004 2010 2505 3323 3340 4020 5010 6646 9969 10020 11189 13292 16615 19938 22378 33230 33567 39876 44756 49845 55945 66460 67134 99690 111890 134268 167835 199380 222641 223780 335670 445282 554941 667923 671340 890564 1109882 1113205 1335846 1664823 2219764 2226410 2671692 2774705 3329646 3339615 4452820 5549410 6659292 6679230 8324115 11098820 13358460 16648230 33296460 37181047 74362094 111543141 148724188 185905235 223086282 371810470 446172564 557715705 743620940 1115431410 2230862820