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422188240 = 2456418233
BaseRepresentation
bin11001001010100…
…001010011010000
31002102102101101111
4121022201103100
51331040010430
6105520543104
713314353335
oct3112412320
91072371344
10422188240
111a7350301
12b9481a94
136960ca36
14400dc98c
15270e7c2a
hex192a14d0

422188240 has 40 divisors (see below), whose sum is σ = 983238408. Its totient is φ = 168591360.

The previous prime is 422188231. The next prime is 422188243. The reversal of 422188240 is 42881224.

It can be written as a sum of positive squares in 4 ways, for example, as 61340224 + 360848016 = 7832^2 + 18996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422188243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47164 + ... + 55396.

Almost surely, 2422188240 is an apocalyptic number.

422188240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422188240 is an abundant number, since it is smaller than the sum of its proper divisors (561050168).

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

422188240 is a wasteful number, since it uses less digits than its factorization.

422188240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 422188240 is about 20547.2197632672. The cubic root of 422188240 is about 750.1855777811.

The spelling of 422188240 in words is "four hundred twenty-two million, one hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 641 1282 2564 3205 5128 6410 8233 10256 12820 16466 25640 32932 41165 51280 65864 82330 131728 164660 329320 658640 5277353 10554706 21109412 26386765 42218824 52773530 84437648 105547060 211094120 422188240