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434222332420 = 225257756111173
BaseRepresentation
bin1100101000110011010…
…10101111101000000100
31112111210200220222120011
412110121222233220010
524103241404114140
6531251243320004
743241301632632
oct6243152575004
91474720828504
10434222332420
11158175206258
12701a4220004
1331c406cb096
14170332b8352
15b466063cea
hex6519aafa04

434222332420 has 48 divisors (see below), whose sum is σ = 915618030768. Its totient is φ = 172974735360.

The previous prime is 434222332393. The next prime is 434222332469. The reversal of 434222332420 is 24233222434.

It can be written as a sum of positive squares in 8 ways, for example, as 4819969476 + 429402362944 = 69426^2 + 655288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38857954 + ... + 38869126.

It is an arithmetic number, because the mean of its divisors is an integer number (19075375641).

Almost surely, 2434222332420 is an apocalyptic number.

It is an amenable number.

434222332420 is an abundant number, since it is smaller than the sum of its proper divisors (481395698348).

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

434222332420 is a wasteful number, since it uses less digits than its factorization.

434222332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19000 (or 18998 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 434222332420 its reverse (24233222434), we get a palindrome (458455554854).

The spelling of 434222332420 in words is "four hundred thirty-four billion, two hundred twenty-two million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 7561 11173 15122 22346 30244 37805 44692 55865 75610 111730 151220 223460 1943177 2871461 3886354 5742922 7772708 9715885 11485844 14357305 19431770 28714610 38863540 57429220 84479053 168958106 337916212 422395265 844790530 1689581060 21711116621 43422233242 86844466484 108555583105 217111166210 434222332420