Search a number
-
+
2255578902120 = 23351131237134471
BaseRepresentation
bin100000110100101010111…
…110101010111001101000
321222122001011122022001210
4200310222332222321220
5243423411144331440
64444110523513120
7321650230220415
oct40645276527150
97878034568053
102255578902120
1179a64953a845
123051909887a0
131349143a167b
147b2561b710c
153da1599ea80
hex20d2afaae68

2255578902120 has 128 divisors (see below), whose sum is σ = 6832188829440. Its totient is φ = 595678433280.

The previous prime is 2255578902119. The next prime is 2255578902133. The reversal of 2255578902120 is 212098755522.

2255578902120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2255578902120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16706485 + ... + 16840955.

It is an arithmetic number, because the mean of its divisors is an integer number (53376475230).

Almost surely, 22255578902120 is an apocalyptic number.

2255578902120 is a gapful number since it is divisible by the number (20) 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 2255578902120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416094414720).

2255578902120 is an abundant number, since it is smaller than the sum of its proper divisors (4576609927320).

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

2255578902120 is a wasteful number, since it uses less digits than its factorization.

2255578902120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135835 (or 135831 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 2255578902120 in words is "two trillion, two hundred fifty-five billion, five hundred seventy-eight million, nine hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1237 1356 1695 2260 2474 2712 3390 3711 4520 4948 6185 6780 7422 9896 12370 13560 14844 18555 24740 29688 37110 49480 74220 134471 139781 148440 268942 279562 403413 419343 537884 559124 672355 698905 806826 838686 1075768 1118248 1344710 1397810 1613652 1677372 2017065 2096715 2689420 2795620 3227304 3354744 4034130 4193430 5378840 5591240 8068260 8386860 15195223 16136520 16773720 30390446 45585669 60780892 75976115 91171338 121561784 151952230 166340627 182342676 227928345 303904460 332681254 364685352 455856690 499021881 607808920 665362508 831703135 911713380 998043762 1330725016 1663406270 1823426760 1996087524 2495109405 3326812540 3992175048 4990218810 6653625080 9980437620 18796490851 19960875240 37592981702 56389472553 75185963404 93982454255 112778945106 150371926808 187964908510 225557890212 281947362765 375929817020 451115780424 563894725530 751859634040 1127789451060 2255578902120