Search a number
-
+
2219399728 = 2472131973157
BaseRepresentation
bin1000010001001001…
…0101101000110000
312201200012012001221
42010102111220300
514021131242403
61004121234424
7105666405100
oct20422255060
95650165057
102219399728
11a3987a957
1251b332a14
13294a647a0
14170a8b200
15cec9edbd
hex84495a30

2219399728 has 240 divisors, whose sum is σ = 5784733920. Its totient is φ = 815173632.

The previous prime is 2219399713. The next prime is 2219399729. The reversal of 2219399728 is 8279939122.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2219399729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14136226 + ... + 14136382.

It is an arithmetic number, because the mean of its divisors is an integer number (24103058).

Almost surely, 22219399728 is an apocalyptic number.

2219399728 is a gapful number since it is divisible by the number (28) 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 2219399728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892366960).

2219399728 is an abundant number, since it is smaller than the sum of its proper divisors (3565334192).

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

2219399728 is a wasteful number, since it uses less digits than its factorization.

2219399728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The square root of 2219399728 is about 47110.5054950592. The cubic root of 2219399728 is about 1304.4031617519.

The spelling of 2219399728 in words is "two billion, two hundred nineteen million, three hundred ninety-nine thousand, seven hundred twenty-eight".