Search a number
-
+
2230144000031 = 37199571530447
BaseRepresentation
bin100000011100111110111…
…100001110000000011111
321220012101120101101202002
4200130332330032000133
5243014313331000111
64424303005352515
7320060022141053
oct40347674160037
97805346341662
102230144000031
1178a88716a402
1230027286873b
131323bca2654c
1479d22181c63
153d027a2263b
hex2073ef0e01f

2230144000031 has 16 divisors (see below), whose sum is σ = 2305963545600. Its totient is φ = 2155180880160.

The previous prime is 2230143999991. The next prime is 2230144000033. The reversal of 2230144000031 is 1300004410322.

2230144000031 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-2230144000031 is a prime.

It is a super-2 number, since 2×22301440000312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2230143999967 and 2230144000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230144000033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3939050 + ... + 4469496.

It is an arithmetic number, because the mean of its divisors is an integer number (144122721600).

Almost surely, 22230144000031 is an apocalyptic number.

2230144000031 is a deficient number, since it is larger than the sum of its proper divisors (75819545569).

2230144000031 is a wasteful number, since it uses less digits than its factorization.

2230144000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531254.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2230144000031 its reverse (1300004410322), we get a palindrome (3530148410353).

The spelling of 2230144000031 in words is "two trillion, two hundred thirty billion, one hundred forty-four million, thirty-one", and thus it is an aban number.

Divisors: 1 37 199 571 7363 21127 113629 530447 4204273 19626539 105558953 302885237 3905681261 11206753769 60274162163 2230144000031