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42222560 = 2551719243
BaseRepresentation
bin1010000100010…
…0001111100000
32221110010110112
42201010033200
541302110220
64104550452
71021612562
oct241041740
987403415
1042222560
1121919486
1212182428
138994383
145871332
153a905c5
hex28443e0

42222560 has 144 divisors (see below), whose sum is σ = 114062256. Its totient is φ = 14708736.

The previous prime is 42222559. The next prime is 42222569. The reversal of 42222560 is 6522224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42222569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981899 + ... + 981941.

It is an arithmetic number, because the mean of its divisors is an integer number (792099).

Almost surely, 242222560 is an apocalyptic number.

42222560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57031128).

42222560 is an abundant number, since it is smaller than the sum of its proper divisors (71839696).

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

42222560 is a wasteful number, since it uses less digits than its factorization.

42222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 42222560 is about 6497.8888879389. Note that the first 5 decimals coincide. The cubic root of 42222560 is about 348.2155708440.

Adding to 42222560 its reverse (6522224), we get a palindrome (48744784).

The spelling of 42222560 in words is "forty-two million, two hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 43 68 76 80 85 86 95 136 152 160 170 172 190 215 272 304 323 340 344 361 380 430 544 608 646 680 688 722 731 760 817 860 1292 1360 1376 1444 1462 1520 1615 1634 1720 1805 2584 2720 2888 2924 3040 3230 3268 3440 3610 3655 4085 5168 5776 5848 6137 6460 6536 6880 7220 7310 8170 10336 11552 11696 12274 12920 13072 13889 14440 14620 15523 16340 23392 24548 25840 26144 27778 28880 29240 30685 31046 32680 49096 51680 55556 57760 58480 61370 62092 65360 69445 77615 98192 111112 116960 122740 124184 130720 138890 155230 196384 222224 245480 248368 263891 277780 310460 444448 490960 496736 527782 555560 620920 981920 1055564 1111120 1241840 1319455 2111128 2222240 2483680 2638910 4222256 5277820 8444512 10555640 21111280 42222560