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223231230322120 = 23516229343877057
BaseRepresentation
bin110010110000011100010010…
…001011111010010111001000
31002021101200211021000021012201
4302300130102023322113020
5213224410024430301440
62110435002251245544
765006631663034366
oct6260342213722710
91067350737007181
10223231230322120
1165145918988529
122105385b4498b4
1397737cb636a07
143d1a640848636
151ac1b5374219a
hexcb07122fa5c8

223231230322120 has 32 divisors (see below), whose sum is σ = 502301218620600. Its totient is φ = 89286989836288.

The previous prime is 223231230322099. The next prime is 223231230322129. The reversal of 223231230322120 is 21223032132322.

It can be written as a sum of positive squares in 4 ways, for example, as 184034890874916 + 39196339447204 = 13565946^2 + 6260698^2 .

It is a super-3 number, since 3×2232312303221203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223231230322129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171289369 + ... + 172587688.

Almost surely, 2223231230322120 is an apocalyptic number.

223231230322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223231230322120 is an abundant number, since it is smaller than the sum of its proper divisors (279069988298480).

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

223231230322120 is a wasteful number, since it uses less digits than its factorization.

223231230322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343893297 (or 343893293 counting only the distinct ones).

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

Adding to 223231230322120 its reverse (21223032132322), we get a palindrome (244454262454442).

The spelling of 223231230322120 in words is "two hundred twenty-three trillion, two hundred thirty-one billion, two hundred thirty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 16229 32458 64916 81145 129832 162290 324580 649160 343877057 687754114 1375508228 1719385285 2751016456 3438770570 6877541140 13755082280 5580780758053 11161561516106 22323123032212 27903903790265 44646246064424 55807807580530 111615615161060 223231230322120