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2234353460064 = 253119072332817
BaseRepresentation
bin100000100000111001110…
…110000010001101100000
321220121020221020010100020
4200200321312002031200
5243101423441210224
64430240420553440
7320266235022225
oct40407166021540
97817227203306
102234353460064
11791647307aa0
12301048552880
13132910b650bb
147a20125b94c
153d1c236ec79
hex20839d82360

2234353460064 has 96 divisors (see below), whose sum is σ = 6405433001856. Its totient is φ = 676330014720.

The previous prime is 2234353460029. The next prime is 2234353460083. The reversal of 2234353460064 is 4600643534322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2234353459998 and 2234353460025.

It is a congruent number.

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, 208617 + ... + 2124200.

It is an arithmetic number, because the mean of its divisors is an integer number (66723260436).

Almost surely, 22234353460064 is an apocalyptic number.

2234353460064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234353460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202716500928).

2234353460064 is an abundant number, since it is smaller than the sum of its proper divisors (4171079541792).

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

2234353460064 is a wasteful number, since it uses less digits than its factorization.

2234353460064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333748 (or 2333740 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 2234353460064 its reverse (4600643534322), we get a palindrome (6834996994386).

The spelling of 2234353460064 in words is "two trillion, two hundred thirty-four billion, three hundred fifty-three million, four hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 907 1056 1814 2721 3628 5442 7256 9977 10884 14512 19954 21768 29024 29931 39908 43536 59862 79816 87072 119724 159632 239448 319264 478896 957792 2332817 4665634 6998451 9331268 13996902 18662536 25660987 27993804 37325072 51321974 55987608 74650144 76982961 102643948 111975216 153965922 205287896 223950432 307931844 410575792 615863688 821151584 1231727376 2115865019 2463454752 4231730038 6347595057 8463460076 12695190114 16926920152 23274515209 25390380228 33853840304 46549030418 50780760456 67707680608 69823545627 93098060836 101561520912 139647091254 186196121672 203123041824 279294182508 372392243344 558588365016 744784486688 1117176730032 2234353460064