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232220120220 = 2232511316595741
BaseRepresentation
bin1101100001000101100…
…1011101010010011100
3211012101211010101021100
43120101121131102130
512301041322321340
6254402551033100
722530426311364
oct3302131352234
9735354111240
10232220120220
118a536227430
123900a06b790
1318b8a63b97a
14b34d3239a4
156091e41830
hex361165d49c

232220120220 has 288 divisors, whose sum is σ = 794567854080. Its totient is φ = 54387648000.

The previous prime is 232220120213. The next prime is 232220120243. The reversal of 232220120220 is 22021022232.

232220120220 is a `hidden beast` number, since 2 + 322 + 2 + 0 + 120 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 232220120193 and 232220120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40446550 + ... + 40452290.

It is an arithmetic number, because the mean of its divisors is an integer number (2758916160).

Almost surely, 2232220120220 is an apocalyptic number.

232220120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232220120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397283927040).

232220120220 is an abundant number, since it is smaller than the sum of its proper divisors (562347733860).

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

232220120220 is a wasteful number, since it uses less digits than its factorization.

232220120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 232220120220 its reverse (22021022232), we get a palindrome (254241142452).

The spelling of 232220120220 in words is "two hundred thirty-two billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty".