Search a number
-
+
2219003681000 = 23534154122041
BaseRepresentation
bin100000010010100110111…
…011010001100011101000
321212010122011220112222112
4200102212323101203220
5242324004420243000
64415221325541452
7316213660035611
oct40224673214350
97763564815875
102219003681000
1178608a801877
122ba083a14888
13131335a0c5b2
14795867c6c08
153cac49b7235
hex204a6ed18e8

2219003681000 has 64 divisors (see below), whose sum is σ = 5319114287760. Its totient is φ = 865952640000.

The previous prime is 2219003680973. The next prime is 2219003681003. The reversal of 2219003681000 is 1863009122.

It can be written as a sum of positive squares in 8 ways, for example, as 111704345284 + 2107299335716 = 334222^2 + 1451654^2 .

It is a super-2 number, since 2×22190036810002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2219003681003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27020021 + ... + 27102020.

Almost surely, 22219003681000 is an apocalyptic number.

2219003681000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2219003681000 is an abundant number, since it is smaller than the sum of its proper divisors (3100110606760).

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

2219003681000 is a wasteful number, since it uses less digits than its factorization.

2219003681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54122103 (or 54122089 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 2219003681000 in words is "two trillion, two hundred nineteen billion, three million, six hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 54122041 108244082 216488164 270610205 432976328 541220410 1082440820 1353051025 2164881640 2219003681 2706102050 4438007362 5412204100 6765255125 8876014724 10824408200 11095018405 13530510250 17752029448 22190036810 27061020500 44380073620 54122041000 55475092025 88760147240 110950184050 221900368100 277375460125 443800736200 554750920250 1109501840500 2219003681000