Search a number
-
+
2250551500 = 225341311353
BaseRepresentation
bin1000011000100100…
…1011000011001100
312210211210212021021
42012021023003030
514102120122000
61011153043524
7106525241431
oct20611130314
95724725237
102250551500
11a5541771a
125298565a4
1329b350aa2
14174c79b88
15d28a511a
hex8624b0cc

2250551500 has 96 divisors (see below), whose sum is σ = 5065587072. Its totient is φ = 872960000.

The previous prime is 2250551497. The next prime is 2250551503. The reversal of 2250551500 is 51550522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2250551497) and next prime (2250551503).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2250551503) 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, 6375324 + ... + 6375676.

It is an arithmetic number, because the mean of its divisors is an integer number (52766532).

Almost surely, 22250551500 is an apocalyptic number.

2250551500 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 2250551500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532793536).

2250551500 is an abundant number, since it is smaller than the sum of its proper divisors (2815035572).

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

2250551500 is a wasteful number, since it uses less digits than its factorization.

2250551500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The square root of 2250551500 is about 47439.9778667739. The cubic root of 2250551500 is about 1310.4777504974.

The spelling of 2250551500 in words is "two billion, two hundred fifty million, five hundred fifty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 311 353 410 500 622 706 820 1025 1244 1412 1555 1765 2050 3110 3530 4100 5125 6220 7060 7775 8825 10250 12751 14473 15550 17650 20500 25502 28946 31100 35300 38875 44125 51004 57892 63755 72365 77750 88250 109783 127510 144730 155500 176500 219566 255020 289460 318775 361825 439132 548915 637550 723650 1097830 1275100 1447300 1593875 1809125 2195660 2744575 3187750 3618250 4501103 5489150 6375500 7236500 9002206 10978300 13722875 18004412 22505515 27445750 45011030 54891500 90022060 112527575 225055150 450110300 562637875 1125275750 2250551500