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2250903880 = 235373374513
BaseRepresentation
bin1000011000101010…
…0001000101001000
312210212110202122101
42012022201011020
514102212411010
61011204403144
7106531236661
oct20612410510
95725422571
102250903880
11a55638445
125299a64b4
1329b4452b4
14174d2c368
15d292473a
hex862a1148

2250903880 has 64 divisors (see below), whose sum is σ = 5218003440. Its totient is φ = 873234432.

The previous prime is 2250903871. The next prime is 2250903881. The reversal of 2250903880 is 883090522.

It can be written as a sum of positive squares in 8 ways, for example, as 408605796 + 1842298084 = 20214^2 + 42922^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (2250903881) 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, 496504 + ... + 501016.

Almost surely, 22250903880 is an apocalyptic number.

2250903880 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 2250903880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609001720).

2250903880 is an abundant number, since it is smaller than the sum of its proper divisors (2967099560).

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

2250903880 is a wasteful number, since it uses less digits than its factorization.

2250903880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2250903880 is about 47443.6916776087. The cubic root of 2250903880 is about 1310.5461429264.

The spelling of 2250903880 in words is "two billion, two hundred fifty million, nine hundred three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 337 370 674 740 1348 1480 1685 2696 3370 4513 6740 9026 12469 13480 18052 22565 24938 36104 45130 49876 62345 90260 99752 124690 166981 180520 249380 333962 498760 667924 834905 1335848 1520881 1669810 3041762 3339620 6083524 6679240 7604405 12167048 15208810 30417620 56272597 60835240 112545194 225090388 281362985 450180776 562725970 1125451940 2250903880