Search a number
-
+
2223426720 = 253541112979
BaseRepresentation
bin1000010010000110…
…1100110010100000
312201221202210001210
42010201230302200
514023144123340
61004343430120
7106045546434
oct20441546240
95657683053
102223426720
11a41080449
12520755340
13295844718
141714189c4
15d02e8180
hex8486cca0

2223426720 has 96 divisors (see below), whose sum is σ = 7174681920. Its totient is φ = 578447360.

The previous prime is 2223426707. The next prime is 2223426727. The reversal of 2223426720 is 276243222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2223426727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36810 + ... + 76169.

It is an arithmetic number, because the mean of its divisors is an integer number (74736270).

Almost surely, 22223426720 is an apocalyptic number.

2223426720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223426720 is an abundant number, since it is smaller than the sum of its proper divisors (4951255200).

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

2223426720 is a wasteful number, since it uses less digits than its factorization.

2223426720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113038 (or 113030 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2223426720 is about 47153.2259765968. The cubic root of 2223426720 is about 1305.1916102730.

Adding to 2223426720 its reverse (276243222), we get a palindrome (2499669942).

The spelling of 2223426720 in words is "two billion, two hundred twenty-three million, four hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 112979 225958 338937 451916 564895 677874 903832 1129790 1355748 1694685 1807664 2259580 2711496 3389370 3615328 4519160 4632139 5422992 6778740 9038320 9264278 10845984 13557480 13896417 18076640 18528556 23160695 27114960 27792834 37057112 46321390 54229920 55585668 69482085 74114224 92642780 111171336 138964170 148228448 185285560 222342672 277928340 370571120 444685344 555856680 741142240 1111713360 2223426720