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34522232254425 = 32525319931452557
BaseRepresentation
bin1111101100101110101010…
…11000111110111111011001
311112020021220201111201022100
413312113111120332333121
514011103012424120200
6201231143342514013
710162102045333206
oct766272530767731
9145207821451270
1034522232254425
11aaaa884129a03
123a56781895909
131635581375b86
14874c5646acad
153ed0085c1d00
hex1f65d563efd9

34522232254425 has 72 divisors (see below), whose sum is σ = 63031470988824. Its totient is φ = 18055387284480.

The previous prime is 34522232254343. The next prime is 34522232254429. The reversal of 34522232254425 is 52445223222543.

34522232254425 is a `hidden beast` number, since 3 + 4 + 52 + 2 + 2 + 32 + 2 + 544 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1950237387081 + 32571994867344 = 1396509^2 + 5707188^2 .

It is not a de Polignac number, because 34522232254425 - 233 = 34513642319833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34522232254429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23040247 + ... + 24492803.

It is an arithmetic number, because the mean of its divisors is an integer number (875437097067).

Almost surely, 234522232254425 is an apocalyptic number.

It is an amenable number.

34522232254425 is a deficient number, since it is larger than the sum of its proper divisors (28509238734399).

34522232254425 is a wasteful number, since it uses less digits than its factorization.

34522232254425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454619 (or 1454611 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 45.

Adding to 34522232254425 its reverse (52445223222543), we get a palindrome (86967455476968).

The spelling of 34522232254425 in words is "thirty-four trillion, five hundred twenty-two billion, two hundred thirty-two million, two hundred fifty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1325 1993 2385 3975 5979 9965 11925 17937 29895 49825 89685 105629 149475 316887 448425 528145 950661 1452557 1584435 2640725 4357671 4753305 7262785 7922175 13073013 21788355 23766525 36313925 65365065 76985521 108941775 230956563 326825325 384927605 692869689 1154782815 1924638025 2894946101 3464348445 5773914075 8684838303 14474730505 17321742225 26054514909 43424191515 72373652525 130272574545 153432143353 217120957575 460296430059 651362872725 767160716765 1380889290177 2301482150295 3835803583825 6904446450885 11507410751475 34522232254425