Search a number
-
+
2250883920 = 243513171593
BaseRepresentation
bin1000011000101001…
…1100001101010000
312210212102202021010
42012022130031100
514102211241140
61011204130520
7106531124535
oct20612341520
95725382233
102250883920
11a5562444a
12529996a40
1329b43919c
14174d24d8c
15d291d880
hex8629c350

2250883920 has 80 divisors (see below), whose sum is σ = 7031103552. Its totient is φ = 595645440.

The previous prime is 2250883907. The next prime is 2250883931. The reversal of 2250883920 is 293880522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4357 + ... + 67236.

Almost surely, 22250883920 is an apocalyptic number.

2250883920 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 2250883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515551776).

2250883920 is an abundant number, since it is smaller than the sum of its proper divisors (4780219632).

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

2250883920 is a wasteful number, since it uses less digits than its factorization.

2250883920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71740 (or 71734 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2250883920 is about 47443.4813225168. The cubic root of 2250883920 is about 1310.5422691376.

The spelling of 2250883920 in words is "two billion, two hundred fifty million, eight hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 71593 143186 214779 286372 357965 429558 572744 715930 859116 1073895 1145488 1431860 1718232 2147790 2863720 3436464 4295580 5727440 8591160 9378683 17182320 18757366 28136049 37514732 46893415 56272098 75029464 93786830 112544196 140680245 150058928 187573660 225088392 281360490 375147320 450176784 562720980 750294640 1125441960 2250883920