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2012200002 = 2331747149313
BaseRepresentation
bin111011111101111…
…1011110001000010
312012020022100111000
41313323323301002
513110110400002
6531400232430
7100602263211
oct16773736102
95166270430
102012200002
1194291a70a
12481a6b716
13260b593b7
14151353078
15bb9c261c
hex77efbc42

2012200002 has 128 divisors (see below), whose sum is σ = 4883328000. Its totient is φ = 611739648.

The previous prime is 2012199989. The next prime is 2012200037. The reversal of 2012200002 is 2000022102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6428598 + ... + 6428910.

It is an arithmetic number, because the mean of its divisors is an integer number (38151000).

Almost surely, 22012200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441664000).

2012200002 is an abundant number, since it is smaller than the sum of its proper divisors (2871127998).

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

2012200002 is a wasteful number, since it uses less digits than its factorization.

2012200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2012200002 is about 44857.5523407152. The cubic root of 2012200002 is about 1262.4776982892.

Adding to 2012200002 its reverse (2000022102), we get a palindrome (4012222104).

The spelling of 2012200002 in words is "two billion, twelve million, two hundred thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 149 153 282 298 306 313 423 447 459 626 799 846 894 918 939 1269 1341 1598 1878 2397 2533 2538 2682 2817 4023 4794 5066 5321 5634 7003 7191 7599 8046 8451 10642 14006 14382 14711 15198 15963 16902 21009 21573 22797 29422 31926 42018 43146 44133 45594 46637 47889 63027 68391 88266 93274 95778 119051 126054 132399 136782 139911 143667 189081 238102 250087 264798 279822 287334 357153 378162 397197 419733 500174 714306 750261 792829 794394 839466 1071459 1259199 1500522 1585658 2142918 2191939 2250783 2378487 2518398 3214377 4383878 4501566 4756974 6428754 6575817 6752349 7135461 13151634 13504698 14270922 19727451 21406383 37262963 39454902 42812766 59182353 74525926 111788889 118364706 223577778 335366667 670733334 1006100001 2012200002