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42221160 = 23325117281
BaseRepresentation
bin1010000100001…
…1111001101000
32221110001112200
42201003321220
541302034120
64104540200
71021605522
oct241037150
987401480
1042221160
1121918423
1212181660
138993847
145870a12
153a8ee90
hex2843e68

42221160 has 48 divisors (see below), whose sum is σ = 137219940. Its totient is φ = 11258880.

The previous prime is 42221147. The next prime is 42221197. The reversal of 42221160 is 6112224.

It can be written as a sum of positive squares in 2 ways, for example, as 40525956 + 1695204 = 6366^2 + 1302^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

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 11 ways as a sum of consecutive naturals, for example, 58281 + ... + 59000.

Almost surely, 242221160 is an apocalyptic number.

42221160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42221160 is an abundant number, since it is smaller than the sum of its proper divisors (94998780).

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

42221160 is a wasteful number, since it uses less digits than its factorization.

42221160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117298 (or 117291 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42221160 is about 6497.7811597498. The cubic root of 42221160 is about 348.2117221338.

Adding to 42221160 its reverse (6112224), we get a palindrome (48333384).

The spelling of 42221160 in words is "forty-two million, two hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 117281 234562 351843 469124 586405 703686 938248 1055529 1172810 1407372 1759215 2111058 2345620 2814744 3518430 4222116 4691240 5277645 7036860 8444232 10555290 14073720 21110580 42221160