Search a number
-
+
442224233520520 = 235111005055076183
BaseRepresentation
bin110010010001100110101101…
…0010110011001110110001000
32010222210020001011222001112211
41210203031122112121312020
5430430400212240124040
64204311001442514504
7162101434520666443
oct14443153226316610
92128706034861484
10442224233520520
111189a7276073360
1241722029065a34
1315c9a7491878a9
147b2baa4d1a65a
15361d401a198ea
hex192335a599d88

442224233520520 has 32 divisors (see below), whose sum is σ = 1085459482278720. Its totient is φ = 160808812189120.

The previous prime is 442224233520497. The next prime is 442224233520541. The reversal of 442224233520520 is 25025332422244.

It is a super-2 number, since 2×4422242335205202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502527537652 + ... + 502527538531.

It is an arithmetic number, because the mean of its divisors is an integer number (33920608821210).

Almost surely, 2442224233520520 is an apocalyptic number.

442224233520520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442224233520520 is an abundant number, since it is smaller than the sum of its proper divisors (643235248758200).

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

442224233520520 is a wasteful number, since it uses less digits than its factorization.

442224233520520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005055076205 (or 1005055076201 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 442224233520520 its reverse (25025332422244), we get a palindrome (467249565942764).

The spelling of 442224233520520 in words is "four hundred forty-two trillion, two hundred twenty-four billion, two hundred thirty-three million, five hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1005055076183 2010110152366 4020220304732 5025275380915 8040440609464 10050550761830 11055605838013 20101101523660 22111211676026 40202203047320 44222423352052 55278029190065 88444846704104 110556058380130 221112116760260 442224233520520