Search a number
-
+
4220154000 = 243353312521
BaseRepresentation
bin1111101110001010…
…0111000010010000
3101220002222000222000
43323202213002100
532120324412000
61534432314000
7206402500656
oct37342470220
911802860860
104220154000
111876192187
129993a2900
1352341425a
142c06a0dd6
1519a761000
hexfb8a7090

4220154000 has 320 divisors, whose sum is σ = 15611381760. Its totient is φ = 1088640000.

The previous prime is 4220153989. The next prime is 4220154013. The reversal of 4220154000 is 4510224.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1672740 + ... + 1675260.

It is an arithmetic number, because the mean of its divisors is an integer number (48785568).

Almost surely, 24220154000 is an apocalyptic number.

4220154000 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 4220154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805690880).

4220154000 is an abundant number, since it is smaller than the sum of its proper divisors (11391227760).

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

4220154000 is a wasteful number, since it uses less digits than its factorization.

4220154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4220154000 is about 64962.7123817964. The cubic root of 4220154000 is about 1616.0052466091.

Adding to 4220154000 its reverse (4510224), we get a palindrome (4224664224).

The spelling of 4220154000 in words is "four billion, two hundred twenty million, one hundred fifty-four thousand".