Search a number
-
+
224041130130 = 235313250681
BaseRepresentation
bin1101000010100111100…
…1000101100010010010
3210102021210220122010110
43100221321011202102
512132314012131010
6250531214542150
722120643120256
oct3205171054222
9712253818113
10224041130130
1187019417094
1237506b07956
1318185cb956c
14abb4d86266
155c63d8c120
hex3429e45892

224041130130 has 64 divisors (see below), whose sum is σ = 555623617536. Its totient is φ = 57816835200.

The previous prime is 224041130129. The next prime is 224041130171. The reversal of 224041130130 is 31031140422.

224041130130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224041130097 and 224041130106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768390 + ... + 1019070.

It is an arithmetic number, because the mean of its divisors is an integer number (8681619024).

Almost surely, 2224041130130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224041130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277811808768).

224041130130 is an abundant number, since it is smaller than the sum of its proper divisors (331582487406).

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

224041130130 is an equidigital number, since it uses as much as digits as its factorization.

224041130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250784 (or 250722 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 224041130130 its reverse (31031140422), we get a palindrome (255072270552).

The spelling of 224041130130 in words is "two hundred twenty-four billion, forty-one million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 961 1922 2883 4805 5766 9610 14415 28830 29791 59582 89373 148955 178746 250681 297910 446865 501362 752043 893730 1253405 1504086 2506810 3760215 7520430 7771111 15542222 23313333 38855555 46626666 77711110 116566665 233133330 240904441 481808882 722713323 1204522205 1445426646 2409044410 3613566615 7227133230 7468037671 14936075342 22404113013 37340188355 44808226026 74680376710 112020565065 224041130130