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2246333540 = 2251126115217
BaseRepresentation
bin1000010111100100…
…0101010001100100
312210112212120022112
42011321011101210
514100030133130
61010522420152
7106444343243
oct20571052144
95715776275
102246333540
11a52aa6700
12528361658
1329a504c59
1417449c95a
15d2320495
hex85e45464

2246333540 has 72 divisors (see below), whose sum is σ = 5270480376. Its totient is φ = 803404800.

The previous prime is 2246333519. The next prime is 2246333569. The reversal of 2246333540 is 453336422.

It can be written as a sum of positive squares in 4 ways, for example, as 103754596 + 2142578944 = 10186^2 + 46288^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2246333497 and 2246333506.

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 23 ways as a sum of consecutive naturals, for example, 140012 + ... + 155228.

Almost surely, 22246333540 is an apocalyptic number.

2246333540 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 2246333540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635240188).

2246333540 is an abundant number, since it is smaller than the sum of its proper divisors (3024146836).

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

2246333540 is a wasteful number, since it uses less digits than its factorization.

2246333540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15309 (or 15296 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

The square root of 2246333540 is about 47395.5012633056. The cubic root of 2246333540 is about 1309.6585439528.

Adding to 2246333540 its reverse (453336422), we get a palindrome (2699669962).

The spelling of 2246333540 in words is "two billion, two hundred forty-six million, three hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 121 122 220 242 244 305 484 605 610 671 1210 1220 1342 2420 2684 3355 6710 7381 13420 14762 15217 29524 30434 36905 60868 73810 76085 147620 152170 167387 304340 334774 669548 836935 928237 1673870 1841257 1856474 3347740 3682514 3712948 4641185 7365028 9206285 9282370 10210607 18412570 18564740 20421214 36825140 40842428 51053035 102106070 112316677 204212140 224633354 449266708 561583385 1123166770 2246333540