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221230422 = 23272397787
BaseRepresentation
bin11010010111110…
…11010101010110
3120102021200002100
431023323111112
5423113333142
633541422530
75324266440
oct1513732526
9512250070
10221230422
11103973766
126210aa46
1336aab79a
142154b490
151464eb4c
hexd2fb556

221230422 has 96 divisors (see below), whose sum is σ = 578253312. Its totient is φ = 59761152.

The previous prime is 221230417. The next prime is 221230423. The reversal of 221230422 is 224032122.

221230422 is a `hidden beast` number, since 2 + 212 + 30 + 422 = 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 = 221230395 and 221230404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221230423) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 280713 + ... + 281499.

It is an arithmetic number, because the mean of its divisors is an integer number (6023472).

Almost surely, 2221230422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221230422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289126656).

221230422 is an abundant number, since it is smaller than the sum of its proper divisors (357022890).

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

221230422 is a wasteful number, since it uses less digits than its factorization.

221230422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221230422 is about 14873.8166588136. The cubic root of 221230422 is about 604.8044100575.

Adding to 221230422 its reverse (224032122), we get a palindrome (445262544).

The spelling of 221230422 in words is "two hundred twenty-one million, two hundred thirty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 97 126 138 161 194 207 291 322 414 483 582 679 787 873 966 1358 1449 1574 1746 2037 2231 2361 2898 4074 4462 4722 5509 6111 6693 7083 11018 12222 13386 14166 15617 16527 18101 20079 31234 33054 36202 40158 46851 49581 54303 76339 93702 99162 108606 126707 140553 152678 162909 229017 253414 281106 325818 380121 458034 534373 687051 760242 1068746 1140363 1374102 1603119 1755797 2280726 3206238 3511594 4809357 5267391 9618714 10534782 12290579 15802173 24581158 31604346 36871737 73743474 110615211 221230422