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2241055131 = 37231491783
BaseRepresentation
bin1000010110010011…
…1100100110011011
312210011221101200220
42011210330212123
514042202231011
61010213331123
7106351440300
oct20544744633
95704841626
102241055131
11a50020987
12526636aa3
132993a7533
141738c70a7
15d1b2b506
hex8593c99b

2241055131 has 24 divisors (see below), whose sum is σ = 3588056064. Its totient is φ = 1239290640.

The previous prime is 2241055129. The next prime is 2241055133. The reversal of 2241055131 is 1315501422.

It is a happy number.

2241055131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2241055129) and next prime (2241055133).

It is not a de Polignac number, because 2241055131 - 21 = 2241055129 is a prime.

It is a super-2 number, since 2×22410551312 = 10044656200362854322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2241055133) 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, 241335 + ... + 250448.

It is an arithmetic number, because the mean of its divisors is an integer number (149502336).

Almost surely, 22241055131 is an apocalyptic number.

2241055131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2241055131 is a deficient number, since it is larger than the sum of its proper divisors (1347000933).

2241055131 is a wasteful number, since it uses less digits than its factorization.

2241055131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491831 (or 491824 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2241055131 is about 47339.7838081249. The cubic root of 2241055131 is about 1308.6319325095.

Adding to 2241055131 its reverse (1315501422), we get a palindrome (3556556553).

The spelling of 2241055131 in words is "two billion, two hundred forty-one million, fifty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 4557 491783 1475349 3442481 10327443 15245273 24097367 45735819 72292101 106716911 320150733 747018377 2241055131