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200212222122220 = 225721121938748263
BaseRepresentation
bin101101100001011110001010…
…011000010001100011101100
3222020220002201222222212211011
4231201132022120101203230
5202220234112330402340
61545452120342035004
760112566335511100
oct5541361230214354
9866802658885734
10200212222122220
1158880587958900
121a556578118a64
138793c15774229
143762475023900
151822ea550d0ea
hexb6178a6118ec

200212222122220 has 216 divisors, whose sum is σ = 540380162300832. Its totient is φ = 62080466595840.

The previous prime is 200212222122203. The next prime is 200212222122229. The reversal of 200212222122220 is 22221222212002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 200212222122191 and 200212222122200.

It is not an unprimeable number, because it can be changed into a prime (200212222122229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18511809 + ... + 27260071.

It is an arithmetic number, because the mean of its divisors is an integer number (2501760010652).

Almost surely, 2200212222122220 is an apocalyptic number.

200212222122220 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 200212222122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270190081150416).

200212222122220 is an abundant number, since it is smaller than the sum of its proper divisors (340167940178612).

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

200212222122220 is a wasteful number, since it uses less digits than its factorization.

200212222122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8748501 (or 8748481 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 200212222122220 its reverse (22221222212002), we get a palindrome (222433444334222).

The spelling of 200212222122220 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".