Search a number
-
+
2235288820 = 225195882339
BaseRepresentation
bin1000010100111011…
…1100110011110100
312202210002102210211
42011032330303310
514034213220240
61005445555204
7106251433012
oct20516746364
95683072724
102235288820
11a47842636
12524715b04
13298138a0b
14172c258b2
15d138cbea
hex853bccf4

2235288820 has 24 divisors (see below), whose sum is σ = 4941165600. Its totient is φ = 847056672.

The previous prime is 2235288817. The next prime is 2235288827. The reversal of 2235288820 is 288825322.

It is a super-2 number, since 2×22352888202 = 9993032217633984800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235288827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940790 + ... + 2941549.

It is an arithmetic number, because the mean of its divisors is an integer number (205881900).

Almost surely, 22235288820 is an apocalyptic number.

2235288820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2235288820 is an abundant number, since it is smaller than the sum of its proper divisors (2705876780).

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

2235288820 is a wasteful number, since it uses less digits than its factorization.

2235288820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882367 (or 5882365 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 2235288820 is about 47278.8411448504. The cubic root of 2235288820 is about 1307.5085836770.

The spelling of 2235288820 in words is "two billion, two hundred thirty-five million, two hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 5882339 11764678 23529356 29411695 58823390 111764441 117646780 223528882 447057764 558822205 1117644410 2235288820