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422410320222 = 231123122978171
BaseRepresentation
bin1100010010110011001…
…11011111100101011110
31111101022111112120222220
412021121213133211132
523410044020221342
6522015211050210
742342502323402
oct6113147374536
91441274476886
10422410320222
11153163682700
1269a48440966
1330aaa4a6157
1416632633102
15aec40785ec
hex62599df95e

422410320222 has 96 divisors (see below), whose sum is σ = 959094162432. Its totient is φ = 123804912000.

The previous prime is 422410320209. The next prime is 422410320247. The reversal of 422410320222 is 222023014224.

It is a junction number, because it is equal to n+sod(n) for n = 422410320192 and 422410320201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51692197 + ... + 51700367.

It is an arithmetic number, because the mean of its divisors is an integer number (9990564192).

Almost surely, 2422410320222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422410320222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479547081216).

422410320222 is an abundant number, since it is smaller than the sum of its proper divisors (536683842210).

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

422410320222 is a wasteful number, since it uses less digits than its factorization.

422410320222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 422410320222 its reverse (222023014224), we get a palindrome (644433334446).

The spelling of 422410320222 in words is "four hundred twenty-two billion, four hundred ten million, three hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 2297 3751 4594 6891 7502 8171 11253 13782 16342 22506 24513 25267 49026 50534 71207 75801 89881 142414 151602 179762 213621 253301 269643 277937 427242 506602 539286 555874 759903 783277 833811 988691 1519806 1566554 1667622 1977382 2349831 2786311 2966073 4699662 5572622 5932146 8358933 8616047 16717866 17232094 18768787 25848141 30649421 37537574 51696282 56306361 61298842 91948263 112612722 183896526 206456657 412913314 581832397 619369971 1163664794 1238739942 1745497191 2271023227 3490994382 4542046454 6400156367 6813069681 12800312734 13626139362 19200469101 38400938202 70401720037 140803440074 211205160111 422410320222