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2246401260 = 2232523737433
BaseRepresentation
bin1000010111100101…
…0101110011101100
312210120000000012200
42011321111303230
514100034320020
61010524101500
7106445044545
oct20571256354
95716000180
102246401260
11a53042574
12528394890
1329a529a1c
141744b94cc
15d2335590
hex85e55cec

2246401260 has 144 divisors (see below), whose sum is σ = 7208720064. Its totient is φ = 565069824.

The previous prime is 2246401253. The next prime is 2246401271. The reversal of 2246401260 is 621046422.

2246401260 is a `hidden beast` number, since 2 + 2 + 4 + 640 + 12 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298504 + ... + 305936.

It is an arithmetic number, because the mean of its divisors is an integer number (50060556).

Almost surely, 22246401260 is an apocalyptic number.

2246401260 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 2246401260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604360032).

2246401260 is an abundant number, since it is smaller than the sum of its proper divisors (4962318804).

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

2246401260 is a wasteful number, since it uses less digits than its factorization.

2246401260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2246401260 is about 47396.2156717179. The cubic root of 2246401260 is about 1309.6717045371.

Adding to 2246401260 its reverse (621046422), we get a palindrome (2867447682).

The spelling of 2246401260 in words is "two billion, two hundred forty-six million, four hundred one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 73 90 92 115 138 146 180 207 219 230 276 292 345 365 414 438 460 657 690 730 828 876 1035 1095 1314 1380 1460 1679 2070 2190 2628 3285 3358 4140 4380 5037 6570 6716 7433 8395 10074 13140 14866 15111 16790 20148 22299 25185 29732 30222 33580 37165 44598 50370 60444 66897 74330 75555 89196 100740 111495 133794 148660 151110 170959 222990 267588 302220 334485 341918 445980 512877 542609 668970 683836 854795 1025754 1085218 1337940 1538631 1627827 1709590 2051508 2170436 2564385 2713045 3077262 3255654 3419180 4883481 5128770 5426090 6154524 6511308 7693155 8139135 9766962 10257540 10852180 12480007 15386310 16278270 19533924 24417405 24960014 30772620 32556540 37440021 48834810 49920028 62400035 74880042 97669620 112320063 124800070 149760084 187200105 224640126 249600140 374400210 449280252 561600315 748800420 1123200630 2246401260