Search a number
-
+
4225432120 = 23571323411231
BaseRepresentation
bin1111101111011010…
…1111101000111000
3101220110220012011221
43323312233220320
532123202311440
61535141401424
7206465403040
oct37366575070
911813805157
104225432120
111879167768
1299b109274
135245417c0
142c1276720
1519ae54d4a
hexfbdafa38

4225432120 has 256 divisors, whose sum is σ = 12517908480. Its totient is φ = 1246924800.

The previous prime is 4225432111. The next prime is 4225432147. The reversal of 4225432120 is 212345224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3431905 + ... + 3433135.

It is an arithmetic number, because the mean of its divisors is an integer number (48898080).

Almost surely, 24225432120 is an apocalyptic number.

4225432120 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 4225432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258954240).

4225432120 is an abundant number, since it is smaller than the sum of its proper divisors (8292476360).

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

4225432120 is a wasteful number, since it uses less digits than its factorization.

4225432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4225432120 is about 65003.3239150122. The cubic root of 4225432120 is about 1616.6786751272.

Adding to 4225432120 its reverse (212345224), we get a palindrome (4437777344).

The spelling of 4225432120 in words is "four billion, two hundred twenty-five million, four hundred thirty-two thousand, one hundred twenty".