Search a number
-
+
422462250 = 2335378941
BaseRepresentation
bin11001001011100…
…100001100101010
31002102221022021000
4121023210030222
51331122243000
6105530455430
713316604240
oct3113441452
91072838230
10422462250
111a7518161
12b9594576
13696a7682
1440170790
152714e000
hex192e432a

422462250 has 128 divisors (see below), whose sum is σ = 1339153920. Its totient is φ = 96552000.

The previous prime is 422462239. The next prime is 422462267. The reversal of 422462250 is 52264224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 42780 + ... + 51720.

It is an arithmetic number, because the mean of its divisors is an integer number (10462140).

Almost surely, 2422462250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422462250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669576960).

422462250 is an abundant number, since it is smaller than the sum of its proper divisors (916691670).

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

422462250 is a wasteful number, since it uses less digits than its factorization.

422462250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 422462250 is about 20553.8864937997. The cubic root of 422462250 is about 750.3478386528.

The spelling of 422462250 in words is "four hundred twenty-two million, four hundred sixty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 125 126 135 150 175 189 210 225 250 270 315 350 375 378 450 525 630 675 750 875 945 1050 1125 1350 1575 1750 1890 2250 2625 3150 3375 4725 5250 6750 7875 8941 9450 15750 17882 23625 26823 44705 47250 53646 62587 80469 89410 125174 134115 160938 187761 223525 241407 268230 312935 375522 402345 447050 482814 563283 625870 670575 804690 938805 1117625 1126566 1207035 1341150 1564675 1689849 1877610 2011725 2235250 2414070 2816415 3129350 3352875 3379698 4023450 4694025 5632830 6035175 6705750 7823375 8449245 9388050 10058625 12070350 14082075 15646750 16898490 20117250 23470125 28164150 30175875 42246225 46940250 60351750 70410375 84492450 140820750 211231125 422462250