Search a number
-
+
122331222310224 = 2434050762916709
BaseRepresentation
bin11011110100001001110101…
…000011001111110101010000
3121001010202021012211121102210
4123310021311003033311100
5112013233320402411344
61112102104313312120
734524065504652234
oct3364116503176520
9531122235747383
10122331222310224
1135a8441a90a064
121187873aa05640
135334a2818b005
14222cc115665c4
15e221b0db1db9
hex6f42750cfd50

122331222310224 has 40 divisors (see below), whose sum is σ = 316030130996320. Its totient is φ = 40776066787968.

The previous prime is 122331222310217. The next prime is 122331222310357. The reversal of 122331222310224 is 422013222133221.

It is a super-2 number, since 2×1223312223102242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122331222310191 and 122331222310200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29514019 + ... + 33402690.

It is an arithmetic number, because the mean of its divisors is an integer number (7900753274908).

Almost surely, 2122331222310224 is an apocalyptic number.

It is an amenable number.

122331222310224 is an abundant number, since it is smaller than the sum of its proper divisors (193698908686096).

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

122331222310224 is a wasteful number, since it uses less digits than its factorization.

122331222310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62957227 (or 62957221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122331222310224 its reverse (422013222133221), we get a palindrome (544344444443445).

The spelling of 122331222310224 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, two hundred twenty-two million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 40507 81014 121521 162028 243042 324056 486084 648112 972168 1944336 62916709 125833418 188750127 251666836 377500254 503333672 755000508 1006667344 1510001016 3020002032 2548567131463 5097134262926 7645701394389 10194268525852 15291402788778 20388537051704 30582805577556 40777074103408 61165611155112 122331222310224