Search a number
-
+
221301222212 = 227192950928181
BaseRepresentation
bin1100111000011010010…
…1001010101101000100
3210011012212021220001102
43032012211022231010
512111211103102322
6245355301115232
721663023231450
oct3160645125504
9704185256042
10221301222212
1185942852784
1236a813b8b18
1317b3a46c185
14a9d5125660
155b53572792
hex338694ab44

221301222212 has 96 divisors (see below), whose sum is σ = 482926752000. Its totient is φ = 86579781120.

The previous prime is 221301222199. The next prime is 221301222271. The reversal of 221301222212 is 212222103122.

221301222212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7838762 + ... + 7866942.

It is an arithmetic number, because the mean of its divisors is an integer number (5030487000).

Almost surely, 2221301222212 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 221301222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241463376000).

221301222212 is an abundant number, since it is smaller than the sum of its proper divisors (261625529788).

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

221301222212 is a wasteful number, since it uses less digits than its factorization.

221301222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28749 (or 28747 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 221301222212 its reverse (212222103122), we get a palindrome (433523325334).

The spelling of 221301222212 in words is "two hundred twenty-one billion, three hundred one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 406 509 532 551 812 1018 1102 2036 2204 3563 3857 7126 7714 9671 14252 14761 15428 19342 28181 29522 38684 56362 59044 67697 103327 112724 135394 197267 206654 270788 280459 394534 413308 535439 560918 789068 817249 1070878 1121836 1634498 1963213 2141756 3268996 3748073 3926426 5720743 7496146 7852852 11441486 14344129 14992292 15527731 22882972 28688258 31055462 57376516 62110924 100408903 108694117 200817806 217388234 272538451 401635612 415979741 434776468 545076902 831959482 1090153804 1663918964 1907769157 2911858187 3815538314 5823716374 7631076628 7903615079 11647432748 15807230158 31614460316 55325305553 110650611106 221301222212