Search a number
-
+
210220002312 = 233191103417959
BaseRepresentation
bin1100001111001000010…
…1101010110000001000
3202002121121000121001120
43003302011222300020
511421012310033222
6240323532115240
721121306352055
oct3036205526010
9662547017046
10210220002312
1181176790201
12348aa305b20
1316a92778118
14a26355202c
1557057dd15c
hex30f216ac08

210220002312 has 64 divisors (see below), whose sum is σ = 553713408000. Its totient is φ = 66324919104.

The previous prime is 210220002301. The next prime is 210220002319. The reversal of 210220002312 is 213200022012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210220002291 and 210220002300.

It is not an unprimeable number, because it can be changed into a prime (210220002319) 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, 293989 + ... + 711947.

It is an arithmetic number, because the mean of its divisors is an integer number (8651772000).

Almost surely, 2210220002312 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 210220002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276856704000).

210220002312 is an abundant number, since it is smaller than the sum of its proper divisors (343493405688).

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

210220002312 is a wasteful number, since it uses less digits than its factorization.

210220002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419090 (or 419086 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 210220002312 its reverse (213200022012), we get a palindrome (423420024324).

The spelling of 210220002312 in words is "two hundred ten billion, two hundred twenty million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1103 2206 3309 4412 6618 8824 13236 20957 26472 41914 62871 83828 125742 167656 251484 417959 502968 835918 1253877 1671836 2507754 3343672 5015508 7941221 10031016 15882442 23823663 31764884 47647326 63529768 95294652 190589304 461008777 922017554 1383026331 1844035108 2766052662 3688070216 5532105324 8759166763 11064210648 17518333526 26277500289 35036667052 52555000578 70073334104 105110001156 210220002312