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2145466312 = 2311233728649
BaseRepresentation
bin111111111100001…
…0011011111001000
312112112001222111021
41333320103133020
513343214410222
6552520442224
7104111106553
oct17770233710
95475058437
102145466312
11a01072660
124ba619374
132826497c2
14164d2369a
15c8548ac7
hex7fe137c8

2145466312 has 64 divisors (see below), whose sum is σ = 4703184000. Its totient is φ = 907568640.

The previous prime is 2145466303. The next prime is 2145466333. The reversal of 2145466312 is 2136645412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60564 + ... + 89212.

It is an arithmetic number, because the mean of its divisors is an integer number (73487250).

Almost surely, 22145466312 is an apocalyptic number.

2145466312 is a gapful number since it is divisible by the number (22) 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 2145466312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351592000).

2145466312 is an abundant number, since it is smaller than the sum of its proper divisors (2557717688).

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

2145466312 is a wasteful number, since it uses less digits than its factorization.

2145466312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28726 (or 28722 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 2145466312 is about 46319.1786628390. The cubic root of 2145466312 is about 1289.7550387179.

Subtracting from 2145466312 its reverse (2136645412), we obtain a square (8820900 = 29702).

The spelling of 2145466312 in words is "two billion, one hundred forty-five million, four hundred sixty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 23 37 44 46 74 88 92 148 184 253 296 407 506 814 851 1012 1628 1702 2024 3256 3404 6808 9361 18722 28649 37444 57298 74888 114596 229192 315139 630278 658927 1060013 1260556 1317854 2120026 2521112 2635708 4240052 5271416 7248197 8480104 11660143 14496394 23320286 24380299 28992788 46640572 48760598 57985576 93281144 97521196 195042392 268183289 536366578 1072733156 2145466312