Search a number
-
+
2246615640 = 2332519733163
BaseRepresentation
bin1000010111101000…
…1010001001011000
312210120101220021200
42011322022021120
514100113200030
61010532434200
7106446626553
oct20572121130
95716356250
102246615640
11a53179645
12528478960
1329a5a3489
1417453369a
15d2378d60
hex85e8a258

2246615640 has 96 divisors (see below), whose sum is σ = 7307511120. Its totient is φ = 598604544.

The previous prime is 2246615627. The next prime is 2246615647. The reversal of 2246615640 is 465166422.

2246615640 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 6 + 1 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2246615595 and 2246615604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246615647) by changing a digit.

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, 708699 + ... + 711861.

Almost surely, 22246615640 is an apocalyptic number.

2246615640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246615640 is an abundant number, since it is smaller than the sum of its proper divisors (5060895480).

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

2246615640 is a wasteful number, since it uses less digits than its factorization.

2246615640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2246615640 is about 47398.4771907284. The cubic root of 2246615640 is about 1309.7133650207.

The spelling of 2246615640 in words is "two billion, two hundred forty-six million, six hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1973 3163 3946 5919 6326 7892 9489 9865 11838 12652 15784 15815 17757 18978 19730 23676 25304 28467 29595 31630 35514 37956 39460 47352 47445 56934 59190 63260 71028 75912 78920 88785 94890 113868 118380 126520 142056 142335 177570 189780 227736 236760 284670 355140 379560 569340 710280 1138680 6240599 12481198 18721797 24962396 31202995 37443594 49924792 56165391 62405990 74887188 93608985 112330782 124811980 149774376 187217970 224661564 249623960 280826955 374435940 449323128 561653910 748871880 1123307820 2246615640