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221220020112 = 243721323314569
BaseRepresentation
bin1100111000000110111…
…1011001111110010000
3210011000012111101201020
43032001233121332100
512111024311120422
6245343240435440
721661016100600
oct3160157317620
9704005441636
10221220020112
1185900a30403
1236a5a178b80
1317b266aa8b0
14a9c8428c00
155b4b38295c
hex3381bd9f90

221220020112 has 240 divisors, whose sum is σ = 747055935360. Its totient is φ = 55806879744.

The previous prime is 221220020083. The next prime is 221220020117. The reversal of 221220020112 is 211020022122.

It is a super-3 number, since 3×2212200201123 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221220020091 and 221220020100.

It is not an unprimeable number, because it can be changed into a prime (221220020117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545964 + ... + 860532.

It is an arithmetic number, because the mean of its divisors is an integer number (3112733064).

Almost surely, 2221220020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221220020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373527967680).

221220020112 is an abundant number, since it is smaller than the sum of its proper divisors (525835915248).

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

221220020112 is a wasteful number, since it uses less digits than its factorization.

221220020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314630 (or 314617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221220020112 its reverse (211020022122), we get a palindrome (432240042234).

The spelling of 221220020112 in words is "two hundred twenty-one billion, two hundred twenty million, twenty thousand, one hundred twelve".