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2246270690 = 2517294111113
BaseRepresentation
bin1000010111100011…
…0101111011100010
312210112202101002202
42011320311323202
514100021130230
61010521213202
7106443662066
oct20570657342
95715671082
102246270690
11a52a63464
12528331202
1329a4b2471
14174483aa6
15d230ba45
hex85e35ee2

2246270690 has 64 divisors (see below), whose sum is σ = 4537179360. Its totient is φ = 796508160.

The previous prime is 2246270681. The next prime is 2246270693. The reversal of 2246270690 is 960726422.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 56685841 + 2189584849 = 7529^2 + 46793^2 .

It is a super-2 number, since 2×22462706902 = 10091464025506152200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2246270693) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 196574 + ... + 207686.

Almost surely, 22246270690 is an apocalyptic number.

2246270690 is an abundant number, since it is smaller than the sum of its proper divisors (2290908670).

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

2246270690 is a wasteful number, since it uses less digits than its factorization.

2246270690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207.

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 2246270690 is about 47394.8382210553. The cubic root of 2246270690 is about 1309.6463295591.

The spelling of 2246270690 in words is "two billion, two hundred forty-six million, two hundred seventy thousand, six hundred ninety".

Divisors: 1 2 5 10 17 29 34 41 58 82 85 145 170 205 290 410 493 697 986 1189 1394 2378 2465 3485 4930 5945 6970 11113 11890 20213 22226 40426 55565 101065 111130 188921 202130 322277 377842 455633 644554 911266 944605 1611385 1889210 2278165 3222770 4556330 5478709 7745761 10957418 13213357 15491522 26426714 27393545 38728805 54787090 66066785 77457610 132133570 224627069 449254138 1123135345 2246270690