Search a number
-
+
422125000 = 235611307
BaseRepresentation
bin11001001010010…
…001110111001000
31002102022011122021
4121022101313020
51331031000000
6105515334224
713314001063
oct3112216710
91072264567
10422125000
111a7307840
12b9451374
13695ba00b
14400c38da
15270d411a
hex19291dc8

422125000 has 112 divisors (see below), whose sum is σ = 1082798640. Its totient is φ = 153000000.

The previous prime is 422124979. The next prime is 422125007. The reversal of 422125000 is 521224.

It is not an unprimeable number, because it can be changed into a prime (422125007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1374847 + ... + 1375153.

It is an arithmetic number, because the mean of its divisors is an integer number (9667845).

Almost surely, 2422125000 is an apocalyptic number.

422125000 is a gapful number since it is divisible by the number (40) 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 422125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541399320).

422125000 is an abundant number, since it is smaller than the sum of its proper divisors (660673640).

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

422125000 is an equidigital number, since it uses as much as digits as its factorization.

422125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 422125000 is about 20545.6808113044. The cubic root of 422125000 is about 750.1481188939.

Adding to 422125000 its reverse (521224), we get a palindrome (422646224).

The spelling of 422125000 in words is "four hundred twenty-two million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 307 440 500 550 614 625 1000 1100 1228 1250 1375 1535 2200 2456 2500 2750 3070 3125 3377 5000 5500 6140 6250 6754 6875 7675 11000 12280 12500 13508 13750 15350 15625 16885 25000 27016 27500 30700 31250 33770 34375 38375 55000 61400 62500 67540 68750 76750 84425 125000 135080 137500 153500 168850 171875 191875 275000 307000 337700 343750 383750 422125 675400 687500 767500 844250 959375 1375000 1535000 1688500 1918750 2110625 3377000 3837500 4221250 4796875 7675000 8442500 9593750 10553125 16885000 19187500 21106250 38375000 42212500 52765625 84425000 105531250 211062500 422125000