Search a number
-
+
233212032223120 = 24528929110076879
BaseRepresentation
bin110101000001101011101000…
…010101101000011110010000
31010120201212000111122001011101
4311001223220111220132100
5221031421220222114440
62144000043434354144
7100060004364306616
oct6501535025503620
91116655014561141
10233212032223120
1168343738401625
12221a607988b954
13a018a53284832
144183745d936b6
151be65a801969a
hexd41ae8568790

233212032223120 has 40 divisors (see below), whose sum is σ = 542219903026560. Its totient is φ = 93284481171840.

The previous prime is 233212032223103. The next prime is 233212032223193. The reversal of 233212032223120 is 21322230212332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2332120322231202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18104841 + ... + 28181719.

It is an arithmetic number, because the mean of its divisors is an integer number (13555497575664).

Almost surely, 2233212032223120 is an apocalyptic number.

233212032223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233212032223120 is an abundant number, since it is smaller than the sum of its proper divisors (309007870803440).

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

233212032223120 is a wasteful number, since it uses less digits than its factorization.

233212032223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366183 (or 10366177 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 233212032223120 its reverse (21322230212332), we get a palindrome (254534262435452).

The spelling of 233212032223120 in words is "two hundred thirty-three trillion, two hundred twelve billion, thirty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 289291 578582 1157164 1446455 2314328 2892910 4628656 5785820 10076879 11571640 20153758 23143280 40307516 50384395 80615032 100768790 161230064 201537580 403075160 806150320 2915150402789 5830300805578 11660601611156 14575752013945 23321203222312 29151504027890 46642406444624 58303008055780 116606016111560 233212032223120