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2250057440 = 25517827227
BaseRepresentation
bin1000011000011101…
…0010011011100000
312210210212202112202
42012013102123200
514102003314230
61011134312332
7106521113141
oct20607223340
95723782482
102250057440
11a5510a504
125296586a8
1329b209c47
14174b8bac8
15d2808a45
hex861d26e0

2250057440 has 48 divisors (see below), whose sum is σ = 5628459312. Its totient is φ = 847079424.

The previous prime is 2250057419. The next prime is 2250057443. The reversal of 2250057440 is 447500522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250057443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410894 + ... + 416333.

It is an arithmetic number, because the mean of its divisors is an integer number (117259569).

Almost surely, 22250057440 is an apocalyptic number.

2250057440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250057440 is an abundant number, since it is smaller than the sum of its proper divisors (3378401872).

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

2250057440 is a wasteful number, since it uses less digits than its factorization.

2250057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827259 (or 827251 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 2250057440 is about 47434.7703694242. The cubic root of 2250057440 is about 1310.3818477789.

Adding to 2250057440 its reverse (447500522), we get a palindrome (2697557962).

The spelling of 2250057440 in words is "two billion, two hundred fifty million, fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 827227 1654454 3308908 4136135 6617816 8272270 13235632 14062859 16544540 26471264 28125718 33089080 56251436 66178160 70314295 112502872 132356320 140628590 225005744 281257180 450011488 562514360 1125028720 2250057440