Search a number
-
+
2246034111432 = 2333116991776847
BaseRepresentation
bin100000101011110010000…
…100001011101111001000
321221201101222102200201120
4200223302010023233020
5243244334213031212
64435451441515240
7321161550642336
oct40536204135710
97851358380646
102246034111432
117965a077a281
12303368342b20
13133a52ab6027
147a9cc6aab56
153d657a5d88c
hex20af210bbc8

2246034111432 has 64 divisors (see below), whose sum is σ = 5799631872000. Its totient is φ = 724100281920.

The previous prime is 2246034111427. The next prime is 2246034111457. The reversal of 2246034111432 is 2341114306422.

It is a super-2 number, since 2×22460341114322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2246034111393 and 2246034111402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375633 + ... + 2152479.

It is an arithmetic number, because the mean of its divisors is an integer number (90619248000).

Almost surely, 22246034111432 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 2246034111432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899815936000).

2246034111432 is an abundant number, since it is smaller than the sum of its proper divisors (3553597760568).

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

2246034111432 is a wasteful number, since it uses less digits than its factorization.

2246034111432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778586 (or 1778582 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 2246034111432 its reverse (2341114306422), we get a palindrome (4587148417854).

The spelling of 2246034111432 in words is "two trillion, two hundred forty-six billion, thirty-four million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1699 3398 5097 6796 10194 13592 20388 40776 52669 105338 158007 210676 316014 421352 632028 1264056 1776847 3553694 5330541 7107388 10661082 14214776 21322164 42644328 55082257 110164514 165246771 220329028 330493542 440658056 660987084 1321974168 3018863053 6037726106 9056589159 12075452212 18113178318 24150904424 36226356636 72452713272 93584754643 187169509286 280754263929 374339018572 561508527858 748678037144 1123017055716 2246034111432