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250030144 = 2672136133
BaseRepresentation
bin11101110011100…
…10100001000000
3122102110211212201
432321302201000
51003001431034
640451002544
76124135600
oct1671624100
9572424781
10250030144
11119154391
126b899454
133ca53340
14252c6c00
1516e3d014
hexee72840

250030144 has 84 divisors (see below), whose sum is σ = 621656364. Its totient is φ = 98896896.

The previous prime is 250030111. The next prime is 250030189. The reversal of 250030144 is 441030052.

It can be written as a sum of positive squares in 2 ways, for example, as 151782400 + 98247744 = 12320^2 + 9912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37702 + ... + 43834.

It is an arithmetic number, because the mean of its divisors is an integer number (7400671).

Almost surely, 2250030144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310828182).

250030144 is an abundant number, since it is smaller than the sum of its proper divisors (371626220).

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

250030144 is a wasteful number, since it uses less digits than its factorization.

250030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 250030144 is about 15812.3415090871. The cubic root of 250030144 is about 629.9858433033.

Adding to 250030144 its reverse (441030052), we get a palindrome (691060196).

The spelling of 250030144 in words is "two hundred fifty million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2912 3136 5096 5824 6133 10192 12266 20384 24532 40768 42931 49064 79729 85862 98128 159458 171724 196256 300517 318916 343448 392512 558103 601034 637832 686896 1116206 1202068 1275664 1373792 2232412 2404136 2551328 2747584 3906721 4464824 4808272 5102656 7813442 8929648 9616544 15626884 17859296 19233088 31253768 35718592 62507536 125015072 250030144