Search a number
-
+
2235112686 = 232739291831
BaseRepresentation
bin1000010100111001…
…0001110011101110
312202202202111012100
42011032101303232
514034142101221
61005442115530
7106250100342
oct20516216356
95682674170
102235112686
11a47732274
1252464bba6
132980a67b1
14172bbb622
15d1355926
hex85391cee

2235112686 has 48 divisors (see below), whose sum is σ = 4917051360. Its totient is φ = 733639680.

The previous prime is 2235112681. The next prime is 2235112717. The reversal of 2235112686 is 6862115322.

2235112686 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2235112686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235112681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219791 + ... + 1221621.

It is an arithmetic number, because the mean of its divisors is an integer number (102438570).

Almost surely, 22235112686 is an apocalyptic number.

2235112686 is an abundant number, since it is smaller than the sum of its proper divisors (2681938674).

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

2235112686 is a wasteful number, since it uses less digits than its factorization.

2235112686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2838 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2235112686 is about 47276.9783932941. The cubic root of 2235112686 is about 1307.4742402007.

It can be divided in two parts, 2235 and 112686, that added together give a square (114921 = 3392).

The spelling of 2235112686 in words is "two billion, two hundred thirty-five million, one hundred twelve thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 929 1314 1831 1858 2787 3662 5493 5574 8361 10986 16479 16722 32958 67817 133663 135634 203451 267326 400989 406902 610353 801978 1202967 1220706 1700999 2405934 3401998 5102997 10205994 15308991 30617982 124172927 248345854 372518781 745037562 1117556343 2235112686