Search a number
-
+
2262798723192 = 233771214388523
BaseRepresentation
bin100000111011011001010…
…100000110100001111000
322000022200100000012200020
4200323121110012201320
5244033202433120232
64451303153410440
7322324155536430
oct40733124064170
98008610005606
102262798723192
117a2713985217
12306666869a20
131354c50b1747
147b73cdd52c0
153dcd973ae2c
hex20ed9506878

2262798723192 has 128 divisors (see below), whose sum is σ = 6559330959360. Its totient is φ = 637103456640.

The previous prime is 2262798723113. The next prime is 2262798723193. The reversal of 2262798723192 is 2913278972622.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262798723193) 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, 25517443 + ... + 25605965.

It is an arithmetic number, because the mean of its divisors is an integer number (51244773120).

Almost surely, 22262798723192 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 2262798723192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279665479680).

2262798723192 is an abundant number, since it is smaller than the sum of its proper divisors (4296532236168).

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

2262798723192 is a wasteful number, since it uses less digits than its factorization.

2262798723192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90753 (or 90749 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The spelling of 2262798723192 in words is "two trillion, two hundred sixty-two billion, seven hundred ninety-eight million, seven hundred twenty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2143 2982 3976 4286 5964 6429 8572 11928 12858 15001 17144 25716 30002 45003 51432 60004 88523 90006 120008 152153 177046 180012 265569 304306 354092 360024 456459 531138 608612 619661 708184 912918 1062276 1065071 1217224 1239322 1825836 1858983 2124552 2130142 2478644 3195213 3651672 3717966 4260284 4957288 6285133 6390426 7435932 8520568 12570266 12780852 14871864 18855399 25140532 25561704 37710798 43995931 50281064 75421596 87991862 131987793 150843192 175983724 189704789 263975586 351967448 379409578 527951172 569114367 758819156 1055902344 1138228734 1327933523 1517638312 2276457468 2655867046 3983800569 4552914936 5311734092 7967601138 10623468184 13469040019 15935202276 26938080038 31870404552 40407120057 53876160076 80814240114 94283280133 107752320152 161628480228 188566560266 282849840399 323256960456 377133120532 565699680798 754266241064 1131399361596 2262798723192