Search a number
-
+
2002155012 = 223211132913411
BaseRepresentation
bin111011101010110…
…0111011000000100
312011112102000100100
41313111213120010
513100022430022
6530401044100
7100421015424
oct16725473004
95145360310
102002155012
11938189770
1247a626630
1325ba50210
1414dc9a484
15bab8b1ac
hex77567604

2002155012 has 144 divisors (see below), whose sum is σ = 6151279680. Its totient is φ = 540691200.

The previous prime is 2002155011. The next prime is 2002155019. The reversal of 2002155012 is 2105512002.

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

It is not an unprimeable number, because it can be changed into a prime (2002155011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142587 + ... + 155997.

It is an arithmetic number, because the mean of its divisors is an integer number (42717220).

Almost surely, 22002155012 is an apocalyptic number.

2002155012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002155012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075639840).

2002155012 is an abundant number, since it is smaller than the sum of its proper divisors (4149124668).

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

2002155012 is a wasteful number, since it uses less digits than its factorization.

2002155012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13474 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2002155012 is about 44745.4468298172. The cubic root of 2002155012 is about 1260.3734116232.

Adding to 2002155012 its reverse (2105512002), we get a palindrome (4107667014).

The spelling of 2002155012 in words is "two billion, two million, one hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 29 33 36 39 44 52 58 66 78 87 99 116 117 132 143 156 174 198 234 261 286 319 348 377 396 429 468 522 572 638 754 858 957 1044 1131 1276 1287 1508 1716 1914 2262 2574 2871 3393 3828 4147 4524 5148 5742 6786 8294 11484 12441 13411 13572 16588 24882 26822 37323 40233 49764 53644 74646 80466 120699 147521 149292 160932 174343 241398 295042 348686 388919 442563 482796 523029 590084 697372 777838 885126 1046058 1166757 1327689 1555676 1569087 1770252 1917773 2092116 2333514 2655378 3138174 3500271 3835546 4278109 4667028 5055947 5310756 5753319 6276348 7000542 7671092 8556218 10111894 11506638 12834327 14001084 15167841 17112436 17259957 20223788 23013276 25668654 30335682 34519914 38502981 45503523 51337308 55615417 60671364 69039828 77005962 91007046 111230834 154011924 166846251 182014092 222461668 333692502 500538753 667385004 1001077506 2002155012