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200022122120 = 23531241766739
BaseRepresentation
bin1011101001001000111…
…1110101111010001000
3201010021212220121100012
42322102033311322020
511234121130401440
6231520000131052
720310506661662
oct2722217657210
9633255817305
10200022122120
1177913300947
1232923006a88
1315b28a964a2
149976ddd532
15530a393e65
hex2e923f5e88

200022122120 has 64 divisors (see below), whose sum is σ = 464766681600. Its totient is φ = 77394723840.

The previous prime is 200022122087. The next prime is 200022122123. The reversal of 200022122120 is 21221220002.

200022122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200022122095 and 200022122104.

It is not an unprimeable number, because it can be changed into a prime (200022122123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2963711 + ... + 3030449.

It is an arithmetic number, because the mean of its divisors is an integer number (7261979400).

Almost surely, 2200022122120 is an apocalyptic number.

200022122120 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 200022122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232383340800).

200022122120 is an abundant number, since it is smaller than the sum of its proper divisors (264744559480).

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

200022122120 is a wasteful number, since it uses less digits than its factorization.

200022122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69198 (or 69194 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200022122120 its reverse (21221220002), we get a palindrome (221243342122).

The spelling of 200022122120 in words is "two hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2417 4834 9668 12085 19336 24170 48340 66739 74927 96680 133478 149854 266956 299708 333695 374635 533912 599416 667390 749270 1334780 1498540 2068909 2669560 2997080 4137818 8275636 10344545 16551272 20689090 41378180 82756360 161308163 322616326 645232652 806540815 1290465304 1613081630 3226163260 5000553053 6452326520 10001106106 20002212212 25002765265 40004424424 50005530530 100011061060 200022122120