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20033120232 = 233529335171
BaseRepresentation
bin10010101010000100…
…010010011111101000
31220201010211221200000
4102222010102133220
5312011434321412
613111511143000
71306303466226
oct225204223750
956633757600
1020033120232
1185501a0814
123a71074a60
131b73502bc8
14d80867b16
157c3b0e4dc
hex4aa1127e8

20033120232 has 96 divisors (see below), whose sum is σ = 56459501280. Its totient is φ = 6654726720.

The previous prime is 20033120207. The next prime is 20033120243. The reversal of 20033120232 is 23202133002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552007 + ... + 587177.

It is an arithmetic number, because the mean of its divisors is an integer number (588119805).

Almost surely, 220033120232 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 20033120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28229750640).

20033120232 is an abundant number, since it is smaller than the sum of its proper divisors (36426381048).

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

20033120232 is a wasteful number, since it uses less digits than its factorization.

20033120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35485 (or 35469 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20033120232 its reverse (23202133002), we get a palindrome (43235253234).

The spelling of 20033120232 in words is "twenty billion, thirty-three million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 293 324 486 586 648 879 972 1172 1758 1944 2344 2637 3516 5274 7032 7911 10548 15822 21096 23733 31644 35171 47466 63288 70342 71199 94932 105513 140684 142398 189864 211026 281368 284796 316539 422052 569592 633078 844104 949617 1266156 1899234 2532312 2848851 3798468 5697702 7596936 8546553 10305103 11395404 17093106 20610206 22790808 30915309 34186212 41220412 61830618 68372424 82440824 92745927 123661236 185491854 247322472 278237781 370983708 556475562 741967416 834713343 1112951124 1669426686 2225902248 2504140029 3338853372 5008280058 6677706744 10016560116 20033120232