Search a number
-
+
2230310332432 = 2471314291071943
BaseRepresentation
bin100000011101001000110…
…110101110100000010000
321220012211011100221220101
4200131020312232200100
5243020133421114212
64424331310422144
7320064112013140
oct40351066564020
97805734327811
102230310332432
1178a9620473a6
123002ba501954
131324183233a0
1479d3a2bc920
153d03742b157
hex20748dae810

2230310332432 has 80 divisors (see below), whose sum is σ = 5322159082240. Its totient is φ = 881702309376.

The previous prime is 2230310332423. The next prime is 2230310332433. The reversal of 2230310332432 is 2342330130322.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2230310332432.

It is not an unprimeable number, because it can be changed into a prime (2230310332433) 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, 1544653 + ... + 2616595.

It is an arithmetic number, because the mean of its divisors is an integer number (66526988528).

Almost surely, 22230310332432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230310332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661079541120).

2230310332432 is an abundant number, since it is smaller than the sum of its proper divisors (3091848749808).

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

2230310332432 is a wasteful number, since it uses less digits than its factorization.

2230310332432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073400 (or 1073394 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 2230310332432 its reverse (2342330130322), we get a palindrome (4572640462754).

The spelling of 2230310332432 in words is "two trillion, two hundred thirty billion, three hundred ten million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1429 1456 2858 5716 10003 11432 18577 20006 22864 37154 40012 74308 80024 130039 148616 160048 260078 297232 520156 1040312 1071943 2080624 2143886 4287772 7503601 8575544 13935259 15007202 17151088 27870518 30014404 55741036 60028808 97546813 111482072 120057616 195093626 222964144 390187252 780374504 1531806547 1560749008 3063613094 6127226188 10722645829 12254452376 19913485111 21445291658 24508904752 39826970222 42890583316 79653940444 85781166632 139394395777 159307880888 171562333264 278788791554 318615761776 557577583108 1115155166216 2230310332432