Search a number
-
+
2295840232 = 237379711423
BaseRepresentation
bin1000100011010111…
…1011110111101000
312221000000202201201
42020311323313220
514200213341412
61015451453544
7110615214520
oct21065736750
95830022651
102295840232
11a78a3a824
12540a572b4
132a784995a
1417aca8680
15d684de57
hex88d7bde8

2295840232 has 64 divisors (see below), whose sum is σ = 5105157120. Its totient is φ = 947386368.

The previous prime is 2295840229. The next prime is 2295840277. The reversal of 2295840232 is 2320485922.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 2295840191 and 2295840200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195273 + ... + 206695.

It is an arithmetic number, because the mean of its divisors is an integer number (79768080).

Almost surely, 22295840232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2295840232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552578560).

2295840232 is an abundant number, since it is smaller than the sum of its proper divisors (2809316888).

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

2295840232 is a wasteful number, since it uses less digits than its factorization.

2295840232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11570 (or 11566 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 2295840232 is about 47914.9270269715. The cubic root of 2295840232 is about 1319.2098561672.

It can be divided in two parts, 22958 and 40232, that added together give a triangular number (63190 = T355).

The spelling of 2295840232 in words is "two billion, two hundred ninety-five million, eight hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 97 148 194 259 296 388 518 679 776 1036 1358 2072 2716 3589 5432 7178 11423 14356 22846 25123 28712 45692 50246 79961 91384 100492 159922 200984 319844 422651 639688 845302 1108031 1690604 2216062 2958557 3381208 4432124 5917114 7756217 8864248 11834228 15512434 23668456 31024868 40997147 62049736 81994294 163988588 286980029 327977176 573960058 1147920116 2295840232