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42227500 = 2254719127
BaseRepresentation
bin1010000100010…
…1011100101100
32221110101020111
42201011130230
541302240000
64105025404
71021633150
oct241053454
987411214
1042227500
1121922167
1212185264
1389966b3
145873060
153a91cba
hex284572c

42227500 has 120 divisors (see below), whose sum is σ = 111964160. Its totient is φ = 13608000.

The previous prime is 42227489. The next prime is 42227527. The reversal of 42227500 is 572224.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 332437 + ... + 332563.

Almost surely, 242227500 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 42227500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55982080).

42227500 is an abundant number, since it is smaller than the sum of its proper divisors (69736660).

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

42227500 is a wasteful number, since it uses less digits than its factorization.

42227500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 42227500 is about 6498.2690002800. The cubic root of 42227500 is about 348.2291506130.

Adding to 42227500 its reverse (572224), we get a palindrome (42799724).

The spelling of 42227500 in words is "forty-two million, two hundred twenty-seven thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 125 127 133 140 175 190 250 254 266 350 380 475 500 508 532 625 635 665 700 875 889 950 1250 1270 1330 1750 1778 1900 2375 2413 2500 2540 2660 3175 3325 3500 3556 4375 4445 4750 4826 6350 6650 8750 8890 9500 9652 11875 12065 12700 13300 15875 16625 16891 17500 17780 22225 23750 24130 31750 33250 33782 44450 47500 48260 60325 63500 66500 67564 79375 83125 84455 88900 111125 120650 158750 166250 168910 222250 241300 301625 317500 332500 337820 422275 444500 555625 603250 844550 1111250 1206500 1508125 1689100 2111375 2222500 3016250 4222750 6032500 8445500 10556875 21113750 42227500