Search a number
-
+
422770458164224 = 2106754191112503
BaseRepresentation
bin110000000100000011110101…
…0111110101111110000000000
32001102220110110010112110112111
41200020013222332233300000
5420403132344242223344
64055054022310305104
7155023105032550252
oct14010075276576000
92042813403473474
10422770458164224
11112786a430377a5
123b4bb8b7058194
13151b9110875201
1476582b1057cd2
1533d236a9ac834
hex18081eafafc00

422770458164224 has 176 divisors, whose sum is σ = 860339465358336. Its totient is φ = 207600570777600.

The previous prime is 422770458164179. The next prime is 422770458164281. The reversal of 422770458164224 is 422461854077224.

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, 33813515157 + ... + 33813527659.

Almost surely, 2422770458164224 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 422770458164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430169732679168).

422770458164224 is an abundant number, since it is smaller than the sum of its proper divisors (437569007194112).

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

422770458164224 is a wasteful number, since it uses less digits than its factorization.

422770458164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14042 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 58.

The spelling of 422770458164224 in words is "four hundred twenty-two trillion, seven hundred seventy billion, four hundred fifty-eight million, one hundred sixty-four thousand, two hundred twenty-four".