Search a number
-
+
2189622240 = 2533513127307
BaseRepresentation
bin1000001010000010…
…1111101111100000
312122121011100001000
42002200233233200
513441020402430
61001135112000
7105155324211
oct20240575740
95577140030
102189622240
11a23a91663
12511372600
1328b839b80
1416ab39408
15cc36be60
hex8282fbe0

2189622240 has 384 divisors, whose sum is σ = 8345272320. Its totient is φ = 532998144.

The previous prime is 2189622203. The next prime is 2189622271. The reversal of 2189622240 is 422269812.

2189622240 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 622 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2189622195 and 2189622204.

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, 7132167 + ... + 7132473.

It is an arithmetic number, because the mean of its divisors is an integer number (21732480).

Almost surely, 22189622240 is an apocalyptic number.

2189622240 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 2189622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172636160).

2189622240 is an abundant number, since it is smaller than the sum of its proper divisors (6155650080).

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

2189622240 is a wasteful number, since it uses less digits than its factorization.

2189622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2189622240 is about 46793.3995345497. The cubic root of 2189622240 is about 1298.5431885846.

The spelling of 2189622240 in words is "two billion, one hundred eighty-nine million, six hundred twenty-two thousand, two hundred forty".