Search a number
-
+
422542332300 = 2235211981713043
BaseRepresentation
bin1100010011000010111…
…11000101000110001100
31111101122200221111112010
412021201133011012030
523410331314113200
6522040244341220
742345664364304
oct6114137050614
91441580844463
10422542332300
111532211492a0
1269a846a4810
1330acb9476ca
1416645d98604
15aed0953150
hex62617c518c

422542332300 has 144 divisors (see below), whose sum is σ = 1333935372672. Its totient is φ = 102416217600.

The previous prime is 422542332257. The next prime is 422542332307. The reversal of 422542332300 is 3233245224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (422542332307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32389579 + ... + 32402621.

It is an arithmetic number, because the mean of its divisors is an integer number (9263440088).

Almost surely, 2422542332300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422542332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666967686336).

422542332300 is an abundant number, since it is smaller than the sum of its proper divisors (911393040372).

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

422542332300 is a wasteful number, since it uses less digits than its factorization.

422542332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22888 (or 22881 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 422542332300 its reverse (3233245224), we get a palindrome (425775577524).

The spelling of 422542332300 in words is "four hundred twenty-two billion, five hundred forty-two million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 9817 13043 19634 26086 29451 39129 39268 49085 52172 58902 65215 78258 98170 107987 117804 130430 143473 147255 156516 195645 196340 215974 245425 260860 286946 294510 323961 326075 391290 430419 431948 490850 539935 573892 589020 647922 652150 717365 736275 782580 860838 978225 981700 1079870 1295844 1304300 1434730 1472550 1619805 1721676 1956450 2152095 2159740 2699675 2869460 2945100 3239610 3586825 3912900 4304190 5399350 6479220 7173650 8099025 8608380 10760475 10798700 14347300 16198050 21520950 32396100 43041900 128043131 256086262 384129393 512172524 640215655 768258786 1280431310 1408474441 1536517572 1920646965 2560862620 2816948882 3201078275 3841293930 4225423323 5633897764 6402156550 7042372205 7682587860 8450846646 9603234825 12804313100 14084744410 16901693292 19206469650 21127116615 28169488820 35211861025 38412939300 42254233230 70423722050 84508466460 105635583075 140847444100 211271166150 422542332300