Search a number
-
+
2250547520 = 265131633319
BaseRepresentation
bin1000011000100100…
…1010000101000000
312210211210122210212
42012021022011000
514102120010040
61011153013252
7106525224014
oct20611120500
95724718725
102250547520
11a55414731
12529854228
1329b34c030
14174c78544
15d28a3d65
hex8624a140

2250547520 has 112 divisors (see below), whose sum is σ = 5808512640. Its totient is φ = 825624576.

The previous prime is 2250547501. The next prime is 2250547529. The reversal of 2250547520 is 257450522.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250547529) 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, 676421 + ... + 679739.

It is an arithmetic number, because the mean of its divisors is an integer number (51861720).

Almost surely, 22250547520 is an apocalyptic number.

2250547520 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 2250547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904256320).

2250547520 is an abundant number, since it is smaller than the sum of its proper divisors (3557965120).

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

2250547520 is a wasteful number, since it uses less digits than its factorization.

2250547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 2250547520 is about 47439.9359190124. The cubic root of 2250547520 is about 1310.4769779898.

The spelling of 2250547520 in words is "two billion, two hundred fifty million, five hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 163 208 260 320 326 416 520 652 815 832 1040 1304 1630 2080 2119 2608 3260 3319 4160 4238 5216 6520 6638 8476 10432 10595 13040 13276 16595 16952 21190 26080 26552 33190 33904 42380 43147 52160 53104 66380 67808 84760 86294 106208 132760 135616 169520 172588 212416 215735 265520 339040 345176 431470 531040 540997 678080 690352 862940 1062080 1081994 1380704 1725880 2163988 2704985 2761408 3451760 4327976 5409970 6903520 7032961 8655952 10819940 13807040 14065922 17311904 21639880 28131844 34623808 35164805 43279760 56263688 70329610 86559520 112527376 140659220 173119040 225054752 281318440 450109504 562636880 1125273760 2250547520