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2246222040 = 233559317263
BaseRepresentation
bin1000010111100010…
…1010000011011000
312210112122220100220
42011320222003120
514100013101130
61010520200040
7106443400206
oct20570520330
95715586326
102246222040
11a52a2a957
12528309020
1329a49628a
14174470076
15d22ec410
hex85e2a0d8

2246222040 has 64 divisors (see below), whose sum is σ = 6852902400. Its totient is φ = 588838272.

The previous prime is 2246222029. The next prime is 2246222071. The reversal of 2246222040 is 402226422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2246222040.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 151552 + ... + 165711.

It is an arithmetic number, because the mean of its divisors is an integer number (107076600).

Almost surely, 22246222040 is an apocalyptic number.

2246222040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246222040 is an abundant number, since it is smaller than the sum of its proper divisors (4606680360).

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

2246222040 is a wasteful number, since it uses less digits than its factorization.

2246222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317336 (or 317332 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2246222040 is about 47394.3249767311. The cubic root of 2246222040 is about 1309.6368746650.

Adding to 2246222040 its reverse (402226422), we get a palindrome (2648448462).

The spelling of 2246222040 in words is "two billion, two hundred forty-six million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 317263 634526 951789 1269052 1586315 1903578 2538104 3172630 3807156 4758945 6345260 7614312 9517890 12690520 18718517 19035780 37437034 38071560 56155551 74874068 93592585 112311102 149748136 187185170 224622204 280777755 374370340 449244408 561555510 748740680 1123111020 2246222040