Search a number
-
+
422310521000 = 23532336734999
BaseRepresentation
bin1100010010100111010…
…10110010100010101000
31111101001112202021012102
412021103222302202220
523404342443133000
6522001244032532
742340151125514
oct6112352624250
91441045667172
10422310521000
11153112309005
1269a1ab32748
1330a92902b64
1416623295144
15aeba4133d5
hex6253ab28a8

422310521000 has 128 divisors (see below), whose sum is σ = 1031659200000. Its totient is φ = 161503372800.

The previous prime is 422310520889. The next prime is 422310521027. The reversal of 422310521000 is 125013224.

It is a super-2 number, since 2×4223105210002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84476501 + ... + 84481499.

It is an arithmetic number, because the mean of its divisors is an integer number (8059837500).

Almost surely, 2422310521000 is an apocalyptic number.

422310521000 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 422310521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515829600000).

422310521000 is an abundant number, since it is smaller than the sum of its proper divisors (609348679000).

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

422310521000 is a wasteful number, since it uses less digits than its factorization.

422310521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 422310521000 its reverse (125013224), we get a palindrome (422435534224).

The spelling of 422310521000 in words is "four hundred twenty-two billion, three hundred ten million, five hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 3673 4600 4999 5750 7346 9998 11500 14692 18365 19996 23000 24995 29384 36730 39992 49990 73460 84479 91825 99980 114977 124975 146920 168958 183650 199960 229954 249950 337916 367300 422395 459125 459908 499900 574885 624875 675832 734600 844790 918250 919816 999800 1149770 1249750 1689580 1836500 2111975 2299540 2499500 2874425 3379160 3673000 4223950 4599080 4999000 5748850 8447900 10559875 11497700 14372125 16895800 18361327 21119750 22995400 28744250 36722654 42239500 57488500 73445308 84479000 91806635 114977000 146890616 183613270 367226540 422310521 459033175 734453080 844621042 918066350 1689242084 1836132700 2111552605 2295165875 3378484168 3672265400 4223105210 4590331750 8446210420 9180663500 10557763025 16892420840 18361327000 21115526050 42231052100 52788815125 84462104200 105577630250 211155260500 422310521000