Search a number
-
+
2250601040 = 24559347441
BaseRepresentation
bin1000011000100101…
…0111001001010000
312210211220101020002
42012021113021100
514102123213130
61011154105132
7106525536032
oct20611271120
95724811202
102250601040
11a55450966
1252987b1a8
1329b36a4bc
14174c8dc52
15d28b4b45
hex86257250

2250601040 has 40 divisors (see below), whose sum is σ = 5241581928. Its totient is φ = 898703360.

The previous prime is 2250601033. The next prime is 2250601043. The reversal of 2250601040 is 401060522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 224160784 + 2026440256 = 14972^2 + 45016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250601043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23720 + ... + 71160.

Almost surely, 22250601040 is an apocalyptic number.

2250601040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 47440×47441.

It is an amenable number.

2250601040 is an abundant number, since it is smaller than the sum of its proper divisors (2990980888).

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

2250601040 is a wasteful number, since it uses less digits than its factorization.

2250601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48047 (or 48041 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2250601040 is about 47440.4999973651. The cubic root of 2250601040 is about 1310.4873660060.

Adding to 2250601040 its reverse (401060522), we get a palindrome (2651661562).

The spelling of 2250601040 in words is "two billion, two hundred fifty million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 593 1186 2372 2965 4744 5930 9488 11860 23720 47440 47441 94882 189764 237205 379528 474410 759056 948820 1897640 3795280 28132513 56265026 112530052 140662565 225060104 281325130 450120208 562650260 1125300520 2250601040