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42223216 = 2472337443
BaseRepresentation
bin1010000100010…
…0011001110000
32221110011100211
42201010121300
541302120331
64104553504
71021614520
oct241043160
987404324
1042223216
1121919a22
1212182894
138994769
145871680
153a908b1
hex2844670

42223216 has 80 divisors (see below), whose sum is σ = 100422144. Its totient is φ = 16803072.

The previous prime is 42223213. The next prime is 42223229. The reversal of 42223216 is 61232224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95091 + ... + 95533.

Almost surely, 242223216 is an apocalyptic number.

42223216 is a gapful number since it is divisible by the number (46) 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 42223216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50211072).

42223216 is an abundant number, since it is smaller than the sum of its proper divisors (58198928).

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

42223216 is a wasteful number, since it uses less digits than its factorization.

42223216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 42223216 is about 6497.9393656759. The cubic root of 42223216 is about 348.2173742104.

The spelling of 42223216 in words is "forty-two million, two hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 37 46 56 74 92 112 148 161 184 259 296 322 368 443 518 592 644 851 886 1036 1288 1702 1772 2072 2576 3101 3404 3544 4144 5957 6202 6808 7088 10189 11914 12404 13616 16391 20378 23828 24808 32782 40756 47656 49616 65564 71323 81512 95312 114737 131128 142646 163024 229474 262256 285292 376993 458948 570584 753986 917896 1141168 1507972 1835792 2638951 3015944 5277902 6031888 10555804 21111608 42223216