Search a number
-
+
39228339150 = 233527211213229
BaseRepresentation
bin100100100010001100…
…001111001111001110
310202020220001002211000
4210202030033033032
51120314423323100
630004331241130
72556054244500
oct444214171716
9122226032730
1039228339150
1115700413900
1277295a91a6
133912242700
141c81cdbd70
151048dab900
hex92230f3ce

39228339150 has 1296 divisors, whose sum is σ = 154825246800. Its totient is φ = 7264857600.

The previous prime is 39228339131. The next prime is 39228339173. The reversal of 39228339150 is 5193382293.

39228339150 = 12 + 22 + ... + 49002.

39228339150 is a `hidden beast` number, since 39 + 228 + 3 + 391 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 39228339096 and 39228339105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 1352701336 + ... + 1352701364.

It is an arithmetic number, because the mean of its divisors is an integer number (119463925).

Almost surely, 239228339150 is an apocalyptic number.

39228339150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39228339150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77412623400).

39228339150 is an abundant number, since it is smaller than the sum of its proper divisors (115596907650).

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

39228339150 is a wasteful number, since it uses less digits than its factorization.

39228339150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 39228339150 in words is "thirty-nine billion, two hundred twenty-eight million, three hundred thirty-nine thousand, one hundred fifty".