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2002013232 = 243311996761
BaseRepresentation
bin111011101010100…
…0100110000110000
312011112010210212020
41313111010300300
513100003410412
6530354031440
7100416555162
oct16725046060
95145123766
102002013232
119380a219a
1247a578580
1325ba0081b
1414dc60932
15bab5e18c
hex77544c30

2002013232 has 80 divisors (see below), whose sum is σ = 5366323200. Its totient is φ = 642470400.

The previous prime is 2002013207. The next prime is 2002013243. The reversal of 2002013232 is 2323102002.

It is a super-2 number, since 2×20020132322 = 8016113962206171648, which contains 22 as substring.

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, 292732 + ... + 299492.

It is an arithmetic number, because the mean of its divisors is an integer number (67079040).

Almost surely, 22002013232 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 2002013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683161600).

2002013232 is an abundant number, since it is smaller than the sum of its proper divisors (3364309968).

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

2002013232 is a wasteful number, since it uses less digits than its factorization.

2002013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2002013232 is about 44743.8625064936. The cubic root of 2002013232 is about 1260.3436603536.

Adding to 2002013232 its reverse (2323102002), we get a palindrome (4325115234).

The spelling of 2002013232 in words is "two billion, two million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 199 248 372 398 496 597 744 796 1194 1488 1592 2388 3184 4776 6169 6761 9552 12338 13522 18507 20283 24676 27044 37014 40566 49352 54088 74028 81132 98704 108176 148056 162264 209591 296112 324528 419182 628773 838364 1257546 1345439 1676728 2515092 2690878 3353456 4036317 5030184 5381756 8072634 10060368 10763512 16145268 21527024 32290536 41708609 64581072 83417218 125125827 166834436 250251654 333668872 500503308 667337744 1001006616 2002013232