Search a number
-
+
2422000032400 = 2452131319353123
BaseRepresentation
bin100011001111101010011…
…100111001101010010000
322120112121100100122212201
4203033222130321222100
5304140224002014100
65052352414132544
7336661263411154
oct43175234715220
98515540318781
102422000032400
11854189971143
12331496ab1154
13147516a36360
1485322801064
154300600e36a
hex233ea739a90

2422000032400 has 120 divisors (see below), whose sum is σ = 6271227990720. Its totient is φ = 893596408320.

The previous prime is 2422000032379. The next prime is 2422000032457. The reversal of 2422000032400 is 42300002242.

2422000032400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6682239 + ... + 7035361.

It is an arithmetic number, because the mean of its divisors is an integer number (52260233256).

Almost surely, 22422000032400 is an apocalyptic number.

2422000032400 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 2422000032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135613995360).

2422000032400 is an abundant number, since it is smaller than the sum of its proper divisors (3849227958320).

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

2422000032400 is a wasteful number, since it uses less digits than its factorization.

2422000032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354473 (or 354462 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 2422000032400 its reverse (42300002242), we get a palindrome (2464300034642).

The spelling of 2422000032400 in words is "two trillion, four hundred twenty-two billion, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 1319 2600 2638 5200 5276 6595 10552 13190 17147 21104 26380 32975 34294 52760 65950 68588 85735 105520 131900 137176 171470 263800 274352 342940 353123 428675 527600 685880 706246 857350 1371760 1412492 1714700 1765615 2824984 3429400 3531230 4590599 5649968 6858800 7062460 8828075 9181198 14124920 17656150 18362396 22952995 28249840 35312300 36724792 45905990 70624600 73449584 91811980 114764975 141249200 183623960 229529950 367247920 459059900 465769237 918119800 931538474 1836239600 1863076948 2328846185 3726153896 4657692370 6055000081 7452307792 9315384740 11644230925 12110000162 18630769480 23288461850 24220000324 30275000405 37261538960 46576923700 48440000648 60550000810 93153847400 96880001296 121100001620 151375002025 186307694800 242200003240 302750004050 484400006480 605500008100 1211000016200 2422000032400