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422411444 = 227132175989
BaseRepresentation
bin11001001011010…
…111110010110100
31002102211201120022
4121023113302310
51331114131234
6105525424312
713316303150
oct3113276264
91072751508
10422411444
111a7492a74
12b956b098
136968a500
144015a060
152713de2e
hex192d7cb4

422411444 has 144 divisors (see below), whose sum is σ = 996105600. Its totient is φ = 152875008.

The previous prime is 422411441. The next prime is 422411453. The reversal of 422411444 is 444114224.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422411441) 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, 4746152 + ... + 4746240.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2422411444 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 422411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498052800).

422411444 is an abundant number, since it is smaller than the sum of its proper divisors (573694156).

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

422411444 is a wasteful number, since it uses less digits than its factorization.

422411444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 422411444 is about 20552.6505346634. The cubic root of 422411444 is about 750.3177580948.

Adding to 422411444 its reverse (444114224), we get a palindrome (866525668).

The spelling of 422411444 in words is "four hundred twenty-two million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 59 68 89 91 118 119 169 178 182 221 236 238 338 356 364 413 442 476 623 676 767 826 884 1003 1157 1183 1246 1513 1534 1547 1652 2006 2314 2366 2492 2873 3026 3068 3094 4012 4628 4732 5251 5369 5746 6052 6188 7021 8099 9971 10502 10591 10738 11492 13039 14042 15041 16198 19669 19942 20111 21004 21182 21476 26078 28084 30082 32396 36757 39338 39884 40222 42364 52156 60164 68263 69797 73514 78676 80444 89267 91273 105287 136526 137683 139594 147028 169507 178534 182546 210574 255697 273052 275366 279188 339014 357068 365092 421148 477841 511394 550732 624869 678028 887419 955682 1022788 1160471 1186549 1249738 1774838 1789879 1911364 2320942 2373098 2499476 3549676 3579758 4641884 4746196 6211933 7159516 8123297 12423866 15086123 16246594 24847732 30172246 32493188 60344492 105602861 211205722 422411444