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2301111225 = 3252711231301
BaseRepresentation
bin1000100100101000…
…0010101110111001
312221100221120011200
42021022002232321
514203041024400
61020200444413
7111011060040
oct21112025671
95840846150
102301111225
11a80a0aa16
12542779709
132a8973b9a
1417b87b557
15d7040b00
hex89282bb9

2301111225 has 72 divisors (see below), whose sum is σ = 4718156352. Its totient is φ = 1050192000.

The previous prime is 2301111221. The next prime is 2301111247. The reversal of 2301111225 is 5221111032.

It is not a de Polignac number, because 2301111225 - 22 = 2301111221 is a prime.

It is a super-2 number, since 2×23011112252 = 10590225739642001250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2301111198 and 2301111207.

It is not an unprimeable number, because it can be changed into a prime (2301111221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1768075 + ... + 1769375.

Almost surely, 22301111225 is an apocalyptic number.

2301111225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2301111225 is an abundant number, since it is smaller than the sum of its proper divisors (2417045127).

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

2301111225 is a wasteful number, since it uses less digits than its factorization.

2301111225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2301111225 is about 47969.8991556163. The cubic root of 2301111225 is about 1320.2186707290.

Adding to 2301111225 its reverse (5221111032), we get a palindrome (7522222257).

It can be divided in two parts, 2301 and 111225, that added together give a triangular number (113526 = T476).

The spelling of 2301111225 in words is "two billion, three hundred one million, one hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1123 1301 1575 3369 3903 5615 6505 7861 9107 10107 11709 16845 19515 23583 27321 28075 32525 39305 45535 50535 58545 70749 81963 84225 97575 117915 136605 196525 227675 252675 292725 353745 409815 589575 683025 1461023 1768725 2049075 4383069 7305115 10227161 13149207 21915345 30681483 36525575 51135805 65746035 92044449 109576725 153407415 255679025 328730175 460222245 767037075 2301111225