Search a number
-
+
2235346050 = 2352712716763
BaseRepresentation
bin1000010100111100…
…1010110010000010
312202210012100022110
42011033022302002
514034222033200
61005451120150
7106252061610
oct20517126202
95683170273
102235346050
11a47881633
12524743056
13298158a92
14172c3c6b0
15d139eb50
hex853cac82

2235346050 has 96 divisors (see below), whose sum is σ = 6385876992. Its totient is φ = 506882880.

The previous prime is 2235346049. The next prime is 2235346063. The reversal of 2235346050 is 506435322.

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

It is a junction number, because it is equal to n+sod(n) for n = 2235345999 and 2235346017.

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 47 ways as a sum of consecutive naturals, for example, 124969 + ... + 141731.

It is an arithmetic number, because the mean of its divisors is an integer number (66519552).

Almost surely, 22235346050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235346050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192938496).

2235346050 is an abundant number, since it is smaller than the sum of its proper divisors (4150530942).

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

2235346050 is a wasteful number, since it uses less digits than its factorization.

2235346050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912 (or 16907 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2235346050 is about 47279.4463800075. The cubic root of 2235346050 is about 1307.5197422764.

The spelling of 2235346050 in words is "two billion, two hundred thirty-five million, three hundred forty-six thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 127 150 175 210 254 350 381 525 635 762 889 1050 1270 1778 1905 2667 3175 3810 4445 5334 6350 8890 9525 13335 16763 19050 22225 26670 33526 44450 50289 66675 83815 100578 117341 133350 167630 234682 251445 352023 419075 502890 586705 704046 838150 1173410 1257225 1760115 2128901 2514450 2933525 3520230 4257802 5867050 6386703 8800575 10644505 12773406 14902307 17601150 21289010 29804614 31933515 44706921 53222525 63867030 74511535 89413842 106445050 149023070 159667575 223534605 319335150 372557675 447069210 745115350 1117673025 2235346050