Search a number
-
+
2002223011332 = 2231773749917929
BaseRepresentation
bin11101001000101101110…
…010101001011000000100
321002102002100211112020010
4131020231302221120010
5230301023042330312
64131450351510220
7264440644534455
oct35105562513004
97072070745203
102002223011332
11702157768135
12284064528370
13116a68c919ab
146cc9dbdb12c
153713824293c
hex1d22dca9604

2002223011332 has 96 divisors (see below), whose sum is σ = 5015379600000. Its totient is φ = 619426455552.

The previous prime is 2002223011331. The next prime is 2002223011379. The reversal of 2002223011332 is 2331103222002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2002223011299 and 2002223011308.

It is not an unprimeable number, because it can be changed into a prime (2002223011331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111666144 + ... + 111684072.

It is an arithmetic number, because the mean of its divisors is an integer number (52243537500).

Almost surely, 22002223011332 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 2002223011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507689800000).

2002223011332 is an abundant number, since it is smaller than the sum of its proper divisors (3013156588668).

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

2002223011332 is a wasteful number, since it uses less digits than its factorization.

2002223011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25525 (or 25523 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2002223011332 its reverse (2331103222002), we get a palindrome (4333326233334).

The spelling of 2002223011332 in words is "two trillion, two billion, two hundred twenty-three million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 1241 2482 3723 4964 7446 7499 14892 14998 17929 22497 29996 35858 44994 53787 71716 89988 107574 127483 215148 254966 304793 382449 509932 547427 609586 764898 914379 1094854 1219172 1308817 1529796 1642281 1828758 2189708 2617634 3284562 3657516 3926451 5235268 6569124 7852902 9306259 15705804 18612518 22249889 27918777 37225036 44499778 55837554 66749667 88999556 111675108 133499334 134449571 266998668 268899142 403348713 537798284 806697426 1613394852 2285642707 4571285414 6856928121 9142570828 9814818683 13713856242 19629637366 27427712484 29444456049 39259274732 58888912098 117777824196 166851917611 333703835222 500555752833 667407670444 1001111505666 2002223011332