Search a number
-
+
230211330 = 23553672161
BaseRepresentation
bin11011011100010…
…11111100000010
3121001011221120120
431232023330002
5432413230310
634502121110
75463523026
oct1556137402
9531157516
10230211330
11108a481a8
1265120196
133890452b
1422808386
1515325b70
hexdb8bf02

230211330 has 64 divisors (see below), whose sum is σ = 571598208. Its totient is φ = 59304960.

The previous prime is 230211329. The next prime is 230211343. The reversal of 230211330 is 33112032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105450 + ... + 107610.

It is an arithmetic number, because the mean of its divisors is an integer number (8931222).

Almost surely, 2230211330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285799104).

230211330 is an abundant number, since it is smaller than the sum of its proper divisors (341386878).

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

230211330 is a wasteful number, since it uses less digits than its factorization.

230211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 230211330 is about 15172.7166321658. The cubic root of 230211330 is about 612.8801627169.

Adding to 230211330 its reverse (33112032), we get a palindrome (263323362).

The spelling of 230211330 in words is "two hundred thirty million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 67 106 134 159 201 265 318 335 402 530 670 795 1005 1590 2010 2161 3551 4322 6483 7102 10653 10805 12966 17755 21306 21610 32415 35510 53265 64830 106530 114533 144787 229066 289574 343599 434361 572665 687198 723935 868722 1145330 1447870 1717995 2171805 3435990 4343610 7673711 15347422 23021133 38368555 46042266 76737110 115105665 230211330