Search a number
-
+
4258225400 = 235211133881
BaseRepresentation
bin1111110111001111…
…0101110011111000
3101222202121021002212
43331303311303320
532210101203100
61542312314252
7210344214212
oct37563656370
911882537085
104258225400
111895725850
129aa0a2988
1352b284000
142c57715b2
1519dc81635
hexfdcf5cf8

4258225400 has 192 divisors, whose sum is σ = 11713312800. Its totient is φ = 1427712000.

The previous prime is 4258225357. The next prime is 4258225409. The reversal of 4258225400 is 45228524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258225409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4832960 + ... + 4833840.

Almost surely, 24258225400 is an apocalyptic number.

4258225400 is a gapful number since it is divisible by the number (40) 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 4258225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856656400).

4258225400 is an abundant number, since it is smaller than the sum of its proper divisors (7455087400).

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

4258225400 is a wasteful number, since it uses less digits than its factorization.

4258225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 4258225400 is about 65255.0794957757. The cubic root of 4258225400 is about 1620.8502116403.

The spelling of 4258225400 in words is "four billion, two hundred fifty-eight million, two hundred twenty-five thousand, four hundred".