Search a number
-
+
2207790240 = 253523316451
BaseRepresentation
bin1000001110011000…
…0011010010100000
312200212100100211220
42003212003102200
514010143241430
61003024335040
7105465623145
oct20346032240
95625310756
102207790240
11a33270537
12517474480
1329252b476
1416d3083cc
15cdc5a110
hex839834a0

2207790240 has 192 divisors, whose sum is σ = 7492165632. Its totient is φ = 544896000.

The previous prime is 2207790239. The next prime is 2207790269. The reversal of 2207790240 is 420977022.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 339015 + ... + 345465.

It is an arithmetic number, because the mean of its divisors is an integer number (39021696).

Almost surely, 22207790240 is an apocalyptic number.

2207790240 is a gapful number since it is divisible by the number (20) 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 2207790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746082816).

2207790240 is an abundant number, since it is smaller than the sum of its proper divisors (5284375392).

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

2207790240 is a wasteful number, since it uses less digits than its factorization.

2207790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 2207790240 is about 46987.1284502469. The cubic root of 2207790240 is about 1302.1247777423.

The spelling of 2207790240 in words is "two billion, two hundred seven million, seven hundred ninety thousand, two hundred forty".