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2002233225512 = 2313432129210299
BaseRepresentation
bin11101001000101110011…
…001100111000100101000
321002102010002001110110002
4131020232121213010220
5230301033201204022
64131451354442132
7264441130415432
oct35105631470450
97072102043402
102002233225512
11702162504203
12284067a33348
13116a6b129ba0
146cca12d9652
15371390ae092
hex1d22e667128

2002233225512 has 64 divisors (see below), whose sum is σ = 4138956360000. Its totient is φ = 902188514304.

The previous prime is 2002233225449. The next prime is 2002233225529. The reversal of 2002233225512 is 2155223322002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9415739 + ... + 9626037.

It is an arithmetic number, because the mean of its divisors is an integer number (64671193125).

Almost surely, 22002233225512 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 2002233225512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069478180000).

2002233225512 is an abundant number, since it is smaller than the sum of its proper divisors (2136723134488).

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

2002233225512 is a wasteful number, since it uses less digits than its factorization.

2002233225512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212490 (or 212486 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 2002233225512 its reverse (2155223322002), we get a palindrome (4157456547514).

The spelling of 2002233225512 in words is "two trillion, two billion, two hundred thirty-three million, two hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 559 1118 2129 2236 4258 4472 8516 17032 27677 55354 91547 110708 183094 210299 221416 366188 420598 732376 841196 1190111 1682392 2380222 2733887 4760444 5467774 9042857 9520888 10935548 18085714 21871096 36171428 72342856 117557141 235114282 447726571 470228564 895453142 940457128 1790906284 3581812568 5820445423 11640890846 19252242553 23281781692 38504485106 46563563384 77008970212 154017940424 250279153189 500558306378 1001116612756 2002233225512