Search a number
-
+
233321130 = 232571792069
BaseRepresentation
bin11011110100000…
…11001010101010
3121021000221102100
431322003022222
5434212234010
635052514230
75532124350
oct1572031252
9537027370
10233321130
1110a781689
126617b976
1339452b53
1422db77d0
151573c2c0
hexde832aa

233321130 has 96 divisors (see below), whose sum is σ = 697507200. Its totient is φ = 53006976.

The previous prime is 233321129. The next prime is 233321161. The reversal of 233321130 is 31123332.

233321130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111736 + ... + 113804.

It is an arithmetic number, because the mean of its divisors is an integer number (7265700).

Almost surely, 2233321130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348753600).

233321130 is an abundant number, since it is smaller than the sum of its proper divisors (464186070).

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

233321130 is a wasteful number, since it uses less digits than its factorization.

233321130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 233321130 is about 15274.8528634485. The cubic root of 233321130 is about 615.6275173353.

Adding to 233321130 its reverse (31123332), we get a palindrome (264444462).

The spelling of 233321130 in words is "two hundred thirty-three million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 179 210 315 358 537 630 895 1074 1253 1611 1790 2069 2506 2685 3222 3759 4138 5370 6207 6265 7518 8055 10345 11277 12414 12530 14483 16110 18621 18795 20690 22554 28966 31035 37242 37590 43449 56385 62070 72415 86898 93105 112770 130347 144830 186210 217245 260694 370351 434490 651735 740702 1111053 1303470 1851755 2222106 2592457 3333159 3703510 5184914 5555265 6666318 7777371 11110530 12962285 15554742 16665795 23332113 25924570 33331590 38886855 46664226 77773710 116660565 233321130