Search a number
-
+
2271762112 = 26374123399
BaseRepresentation
bin1000011101101000…
…0101011011000000
312212022201110202111
42013122011123000
514123032341422
61013231425104
7110203442104
oct20732053300
95768643674
102271762112
11a66394554
12534985194
132a2869249
141779db904
15d4694a77
hex876856c0

2271762112 has 56 divisors (see below), whose sum is σ = 4742992800. Its totient is φ = 1078179840.

The previous prime is 2271762089. The next prime is 2271762169. The reversal of 2271762112 is 2112671722.

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 7 ways as a sum of consecutive naturals, for example, 85389 + ... + 108787.

It is an arithmetic number, because the mean of its divisors is an integer number (84696300).

Almost surely, 22271762112 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 2271762112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371496400).

2271762112 is an abundant number, since it is smaller than the sum of its proper divisors (2471230688).

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

2271762112 is a wasteful number, since it uses less digits than its factorization.

2271762112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23489 (or 23479 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 2271762112 is about 47663.0056962420. The cubic root of 2271762112 is about 1314.5818063291.

The spelling of 2271762112 in words is "two billion, two hundred seventy-one million, seven hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 6068 12136 23399 24272 46798 48544 93596 97088 187192 374384 748768 865763 959359 1497536 1731526 1918718 3463052 3837436 6926104 7674872 13852208 15349744 27704416 30699488 35496283 55408832 61398976 70992566 141985132 283970264 567940528 1135881056 2271762112