Search a number
-
+
86221000 = 2353151571
BaseRepresentation
bin1010010001110…
…10000011001000
320000020110222101
411020322003020
5134033033000
612320003144
72064603115
oct510720310
9200213871
1086221000
1144740128
1224a604b4
1314b2ab58
14b64590c
157881e6a
hex523a0c8

86221000 has 64 divisors (see below), whose sum is σ = 203448960. Its totient is φ = 34200000.

The previous prime is 86220971. The next prime is 86221001. The reversal of 86221000 is 12268.

It is a happy number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86221001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150715 + ... + 151285.

It is an arithmetic number, because the mean of its divisors is an integer number (3178890).

Almost surely, 286221000 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 86221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101724480).

86221000 is an abundant number, since it is smaller than the sum of its proper divisors (117227960).

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

86221000 is a wasteful number, since it uses less digits than its factorization.

86221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 86221000 is about 9285.5263717250. The cubic root of 86221000 is about 441.7782717051.

Adding to 86221000 its reverse (12268), we get a palindrome (86233268).

The spelling of 86221000 in words is "eighty-six million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 500 571 604 755 1000 1142 1208 1510 2284 2855 3020 3775 4568 5710 6040 7550 11420 14275 15100 18875 22840 28550 30200 37750 57100 71375 75500 86221 114200 142750 151000 172442 285500 344884 431105 571000 689768 862210 1724420 2155525 3448840 4311050 8622100 10777625 17244200 21555250 43110500 86221000