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224232300131 = 7411801433813
BaseRepresentation
bin1101000011010101001…
…0010101111001100011
3210102210010122002001212
43100311102111321203
512133211432101011
6251002204220335
722125454050230
oct3206522257143
9712703562055
10224232300131
1187107318a24
123755ab3a6ab
13181b67a16c8
14abd250a787
155c75a5008b
hex3435495e63

224232300131 has 16 divisors (see below), whose sum is σ = 262662230208. Its totient is φ = 187406784000.

The previous prime is 224232300119. The next prime is 224232300137. The reversal of 224232300131 is 131003232422.

224232300131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224232300131 is a prime.

It is a super-2 number, since 2×2242323001312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224232300097 and 224232300106.

It is not an unprimeable number, because it can be changed into a prime (224232300137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299981 + ... + 733793.

It is an arithmetic number, because the mean of its divisors is an integer number (16416389388).

Almost surely, 2224232300131 is an apocalyptic number.

224232300131 is a deficient number, since it is larger than the sum of its proper divisors (38429930077).

224232300131 is a wasteful number, since it uses less digits than its factorization.

224232300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435662.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 224232300131 its reverse (131003232422), we get a palindrome (355235532553).

The spelling of 224232300131 in words is "two hundred twenty-four billion, two hundred thirty-two million, three hundred thousand, one hundred thirty-one".

Divisors: 1 7 41 287 1801 12607 73841 433813 516887 3036691 17786333 124504331 781297213 5469080491 32033185733 224232300131