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42272230 = 257111341103
BaseRepresentation
bin1010000101000…
…0010111100110
32221112122121011
42201100113212
541310202410
64110012434
71022210440
oct241202746
987478534
1042272230
1121952830
12121a711a
1389b0b70
145885490
153aa018a
hex28505e6

42272230 has 128 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 11750400.

The previous prime is 42272213. The next prime is 42272231. The reversal of 42272230 is 3227224.

42272230 = 8762 + 8772 + ... + 9272.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410359 + ... + 410461.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 242272230 is an apocalyptic number.

42272230 is an abundant number, since it is smaller than the sum of its proper divisors (63398426).

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

42272230 is a wasteful number, since it uses less digits than its factorization.

42272230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 42272230 is about 6501.7097751284. The cubic root of 42272230 is about 348.3520625650.

Adding to 42272230 its reverse (3227224), we get a palindrome (45499454).

It can be divided in two parts, 42 and 272230, that added together give a palindrome (272272).

The spelling of 42272230 in words is "forty-two million, two hundred seventy-two thousand, two hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 41 55 65 70 77 82 91 103 110 130 143 154 182 205 206 286 287 385 410 451 455 515 533 574 715 721 770 902 910 1001 1030 1066 1133 1339 1430 1435 1442 2002 2255 2266 2665 2678 2870 3157 3605 3731 4223 4510 5005 5330 5665 5863 6314 6695 7210 7462 7931 8446 9373 10010 11330 11726 13390 14729 15785 15862 18655 18746 21115 29315 29458 29561 31570 37310 39655 41041 42230 46453 46865 54899 58630 59122 73645 79310 82082 92906 93730 103103 109798 147290 147805 205205 206206 232265 274495 295610 325171 384293 410410 464530 515515 548990 603889 650342 768586 1031030 1207778 1625855 1921465 3019445 3251710 3842930 4227223 6038890 8454446 21136115 42272230