Search a number
-
+
2335226500 = 22538997541
BaseRepresentation
bin1000101100110000…
…1011101010000100
320000202010210112101
42023030023222010
514240304222000
61023420001444
7111604045345
oct21314135204
96022123471
102335226500
11a991a1262
12552090284
132b2a5a039
141821dc0cc
15da02de6a
hex8b30ba84

2335226500 has 96 divisors (see below), whose sum is σ = 5220240480. Its totient is φ = 912384000.

The previous prime is 2335226447. The next prime is 2335226503. The reversal of 2335226500 is 56225332.

It can be written as a sum of positive squares in 16 ways, for example, as 2090867076 + 244359424 = 45726^2 + 15632^2 .

It is not an unprimeable number, because it can be changed into a prime (2335226503) 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 31 ways as a sum of consecutive naturals, for example, 4316230 + ... + 4316770.

It is an arithmetic number, because the mean of its divisors is an integer number (54377505).

Almost surely, 22335226500 is an apocalyptic number.

2335226500 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 2335226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610120240).

2335226500 is an abundant number, since it is smaller than the sum of its proper divisors (2885013980).

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

2335226500 is a wasteful number, since it uses less digits than its factorization.

2335226500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2335226500 is about 48324.1813174315. The cubic root of 2335226500 is about 1326.7110208257.

The spelling of 2335226500 in words is "two billion, three hundred thirty-five million, two hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 97 100 125 178 194 250 356 388 445 485 500 541 890 970 1082 1780 1940 2164 2225 2425 2705 4450 4850 5410 8633 8900 9700 10820 11125 12125 13525 17266 22250 24250 27050 34532 43165 44500 48149 48500 52477 54100 67625 86330 96298 104954 135250 172660 192596 209908 215825 240745 262385 270500 431650 481490 524770 863300 962980 1049540 1079125 1203725 1311925 2158250 2407450 2623850 4316500 4670453 4814900 5247700 6018625 6559625 9340906 12037250 13119250 18681812 23352265 24074500 26238500 46704530 93409060 116761325 233522650 467045300 583806625 1167613250 2335226500