Search a number
-
+
2295665152 = 2911715741
BaseRepresentation
bin1000100011010101…
…0001001000000000
312220222200212120021
42020311101020000
514200142241102
61015444023224
7110613555214
oct21065211000
95828625507
102295665152
11a78930230
12540991b14
132a77b8061
1417ac60944
15d6817137
hex88d51200

2295665152 has 80 divisors (see below), whose sum is σ = 5075193024. Its totient is φ = 1028608000.

The previous prime is 2295665149. The next prime is 2295665179. The reversal of 2295665152 is 2515665922.

It is a junction number, because it is equal to n+sod(n) for n = 2295665099 and 2295665108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397002 + ... + 402742.

Almost surely, 22295665152 is an apocalyptic number.

2295665152 is a gapful number since it is divisible by the number (22) 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 2295665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537596512).

2295665152 is an abundant number, since it is smaller than the sum of its proper divisors (2779527872).

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

2295665152 is an equidigital number, since it uses as much as digits as its factorization.

2295665152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5825 counting only the distinct ones).

The product of its digits is 324000, while the sum is 43.

The square root of 2295665152 is about 47913.1000040699. The cubic root of 2295665152 is about 1319.1763211489.

The spelling of 2295665152 in words is "two billion, two hundred ninety-five million, six hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 256 284 352 512 568 704 781 1136 1408 1562 2272 2816 3124 4544 5632 5741 6248 9088 11482 12496 18176 22964 24992 36352 45928 49984 63151 91856 99968 126302 183712 199936 252604 367424 399872 407611 505208 734848 815222 1010416 1469696 1630444 2020832 2939392 3260888 4041664 4483721 6521776 8083328 8967442 13043552 16166656 17934884 26087104 32333312 35869768 52174208 71739536 104348416 143479072 208696832 286958144 573916288 1147832576 2295665152