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2305425440 = 25522962921
BaseRepresentation
bin1000100101101010…
…0000000000100000
312221200001202011102
42021122200000200
514210142103230
61020433133532
7111062535653
oct21132400040
95850052142
102305425440
11a8339728a
125440ba2a8
132a9824786
1417c28189a
15d75e4045
hex896a0020

2305425440 has 48 divisors (see below), whose sum is σ = 5470438680. Its totient is φ = 918128640.

The previous prime is 2305425431. The next prime is 2305425443. The reversal of 2305425440 is 445245032.

It can be written as a sum of positive squares in 4 ways, for example, as 2249415184 + 56010256 = 47428^2 + 7484^2 .

It is not an unprimeable number, because it can be changed into a prime (2305425443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5180 + ... + 68100.

Almost surely, 22305425440 is an apocalyptic number.

2305425440 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 2305425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735219340).

2305425440 is an abundant number, since it is smaller than the sum of its proper divisors (3165013240).

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

2305425440 is a wasteful number, since it uses less digits than its factorization.

2305425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63165 (or 63157 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 2305425440 is about 48014.8460374497. The cubic root of 2305425440 is about 1321.0432218300.

The spelling of 2305425440 in words is "two billion, three hundred five million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 916 1145 1832 2290 3664 4580 7328 9160 18320 36640 62921 125842 251684 314605 503368 629210 1006736 1258420 2013472 2516840 5033680 10067360 14408909 28817818 57635636 72044545 115271272 144089090 230542544 288178180 461085088 576356360 1152712720 2305425440