Search a number
-
+
2000221088 = 25177151787
BaseRepresentation
bin111011100111000…
…1111001110100000
312011101202202111112
41313032033032200
513044024033323
6530251402452
7100365412235
oct16716171640
95141682445
102000221088
11937088788
12479a53428
1325b523b98
1414d91578c
15ba908178
hex7738f3a0

2000221088 has 48 divisors (see below), whose sum is σ = 4228386624. Its totient is φ = 928005120.

The previous prime is 2000221087. The next prime is 2000221109. The reversal of 2000221088 is 8801220002.

It is not an unprimeable number, because it can be changed into a prime (2000221087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12731 + ... + 64517.

It is an arithmetic number, because the mean of its divisors is an integer number (88091388).

Almost surely, 22000221088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000221088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114193312).

2000221088 is an abundant number, since it is smaller than the sum of its proper divisors (2228165536).

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

2000221088 is a wasteful number, since it uses less digits than its factorization.

2000221088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51885 (or 51877 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2000221088 is about 44723.8313206729. The cubic root of 2000221088 is about 1259.9674737551.

The spelling of 2000221088 in words is "two billion, two hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 142 272 284 544 568 1136 1207 2272 2414 4828 9656 19312 38624 51787 103574 207148 414296 828592 880379 1657184 1760758 3521516 3676877 7043032 7353754 14086064 14707508 28172128 29415016 58830032 62506909 117660064 125013818 250027636 500055272 1000110544 2000221088