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233223403201332 = 223128311115147001
BaseRepresentation
bin110101000001110110001110…
…000110011110001100110100
31010120202221100222010120211120
4311001312032012132030310
5221032113012204420312
62144005204034103540
7100060556230111605
oct6501661606361464
91116687328116746
10233223403201332
1168348542a92885
12221a8311a1abb0
13a019b45ccbacb
144184104231dac
151be6a2143828c
hexd41d8e19e334

233223403201332 has 24 divisors (see below), whose sum is σ = 544188400846272. Its totient is φ = 77741068680000.

The previous prime is 233223403201303. The next prime is 233223403201363. The reversal of 233223403201332 is 233102304322332.

It is a happy number.

It is a super-3 number, since 3×2332234032013323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 233223403201293 and 233223403201302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7823832 + ... + 22970832.

It is an arithmetic number, because the mean of its divisors is an integer number (22674516701928).

Almost surely, 2233223403201332 is an apocalyptic number.

It is an amenable number.

233223403201332 is an abundant number, since it is smaller than the sum of its proper divisors (310964997644940).

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

233223403201332 is a wasteful number, since it uses less digits than its factorization.

233223403201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16430119 (or 16430117 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 233223403201332 its reverse (233102304322332), we get a palindrome (466325707523664).

The spelling of 233223403201332 in words is "two hundred thirty-three trillion, two hundred twenty-three billion, four hundred three million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 1283111 2566222 3849333 5132444 7698666 15147001 15397332 30294002 45441003 60588004 90882006 181764012 19435283600111 38870567200222 58305850800333 77741134400444 116611701600666 233223403201332