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222200102221020 = 22325711292131145517
BaseRepresentation
bin110010100001011011111110…
…001010010111010011011100
31002010202010022011120110120100
4302201123332022113103130
5213111011302132033040
62104325152345421100
764542266446554120
oct6241337612272334
91063663264513510
10222200102221020
1164888596a60550
1220b07a5079a790
1396ca4c2366851
143cc2784221580
151aa4e04319b30
hexca16fe2974dc

222200102221020 has 864 divisors, whose sum is σ = 876945651918336. Its totient is φ = 44238726604800.

The previous prime is 222200102220977. The next prime is 222200102221091. The reversal of 222200102221020 is 20122201002222.

222200102221020 is a `hidden beast` number, since 222 + 200 + 1 + 0 + 2 + 221 + 0 + 20 = 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 = 222200102220984 and 222200102221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1526897302 + ... + 1527042818.

It is an arithmetic number, because the mean of its divisors is an integer number (1014983393424).

Almost surely, 2222200102221020 is an apocalyptic number.

222200102221020 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 222200102221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438472825959168).

222200102221020 is an abundant number, since it is smaller than the sum of its proper divisors (654745549697316).

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

222200102221020 is a wasteful number, since it uses less digits than its factorization.

222200102221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145739 (or 145705 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222200102221020 its reverse (20122201002222), we get a palindrome (242322303223242).

The spelling of 222200102221020 in words is "two hundred twenty-two trillion, two hundred billion, one hundred two million, two hundred twenty-one thousand, twenty".