Search a number
-
+
2189734008 = 2337115379283
BaseRepresentation
bin1000001010000100…
…1011000001111000
312122121101000100120
42002201023001320
513441032442013
61001141333240
7105156301110
oct20241130170
95577330316
102189734008
11a24058630
12511407220
1328b8789c7
1416ab68040
15cc390123
hex8284b078

2189734008 has 256 divisors, whose sum is σ = 7066828800. Its totient is φ = 549020160.

The previous prime is 2189734007. The next prime is 2189734009. The reversal of 2189734008 is 8004379812.

It is an interprime number because it is at equal distance from previous prime (2189734007) and next prime (2189734009).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189734007) 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 63 ways as a sum of consecutive naturals, for example, 7737435 + ... + 7737717.

It is an arithmetic number, because the mean of its divisors is an integer number (27604800).

Almost surely, 22189734008 is an apocalyptic number.

2189734008 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 2189734008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533414400).

2189734008 is an abundant number, since it is smaller than the sum of its proper divisors (4877094792).

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

2189734008 is a wasteful number, since it uses less digits than its factorization.

2189734008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2189734008 is about 46794.5937903087. The cubic root of 2189734008 is about 1298.5652826705.

The spelling of 2189734008 in words is "two billion, one hundred eighty-nine million, seven hundred thirty-four thousand, eight".