Search a number
-
+
2872222912 = 261331193577
BaseRepresentation
bin1010101100110010…
…1010010011000000
321102011121001010101
42223030222103000
521340242113122
61153001412144
7131114330506
oct25314522300
97364531111
102872222912
111244327649
12681a9a054
1336a0967b0
141d3664676
1511c254027
hexab32a4c0

2872222912 has 112 divisors (see below), whose sum is σ = 6379862272. Its totient is φ = 1274019840.

The previous prime is 2872222909. The next prime is 2872222931. The reversal of 2872222912 is 2192222782.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4977568 + ... + 4978144.

It is an arithmetic number, because the mean of its divisors is an integer number (56963056).

Almost surely, 22872222912 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 2872222912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189931136).

2872222912 is an abundant number, since it is smaller than the sum of its proper divisors (3507639360).

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

2872222912 is a wasteful number, since it uses less digits than its factorization.

2872222912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 2872222912 is about 53593.1237380319. The cubic root of 2872222912 is about 1421.4755065559.

The spelling of 2872222912 in words is "two billion, eight hundred seventy-two million, two hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 193 208 248 386 403 416 496 577 772 806 832 992 1154 1544 1612 1984 2308 2509 3088 3224 4616 5018 5983 6176 6448 7501 9232 10036 11966 12352 12896 15002 17887 18464 20072 23932 25792 30004 35774 36928 40144 47864 60008 71548 77779 80288 95728 111361 120016 143096 155558 160576 191456 222722 232531 240032 286192 311116 382912 445444 465062 480064 572384 622232 890888 930124 1144768 1244464 1447693 1781776 1860248 2488928 2895386 3452191 3563552 3720496 4977856 5790772 6904382 7127104 7440992 11581544 13808764 14881984 23163088 27617528 44878483 46326176 55235056 89756966 92652352 110470112 179513932 220940224 359027864 718055728 1436111456 2872222912