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2291126920 = 235318632141
BaseRepresentation
bin1000100010001111…
…1101001010001000
312220200011022021121
42020203331022020
514143012030140
61015202445024
7110530154215
oct21043751210
95820138247
102291126920
11a76310625
1253b363774
132a6889504
1417a3dcb0c
15d621c64a
hex888fd288

2291126920 has 64 divisors (see below), whose sum is σ = 5329981440. Its totient is φ = 885446400.

The previous prime is 2291126897. The next prime is 2291126947. The reversal of 2291126920 is 296211922.

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, 1069050 + ... + 1071190.

It is an arithmetic number, because the mean of its divisors is an integer number (83280960).

Almost surely, 22291126920 is an apocalyptic number.

2291126920 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 2291126920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664990720).

2291126920 is an abundant number, since it is smaller than the sum of its proper divisors (3038854520).

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

2291126920 is a wasteful number, since it uses less digits than its factorization.

2291126920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2291126920 is about 47865.7175857628. The cubic root of 2291126920 is about 1318.3064675871.

The spelling of 2291126920 in words is "two billion, two hundred ninety-one million, one hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 863 1240 1726 2141 3452 4282 4315 6904 8564 8630 10705 17128 17260 21410 26753 34520 42820 53506 66371 85640 107012 132742 133765 214024 265484 267530 331855 530968 535060 663710 1070120 1327420 1847683 2654840 3695366 7390732 9238415 14781464 18476830 36953660 57278173 73907320 114556346 229112692 286390865 458225384 572781730 1145563460 2291126920