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2234250040 = 2351112739983
BaseRepresentation
bin1000010100101011…
…1111001100111000
312202201010122212111
42011022333030320
514033432000130
61005411422104
7106236545341
oct20512771470
95681118774
102234250040
11a471a3140
125242b4934
13297b63c59
14172a350c8
15d123502a
hex852bf338

2234250040 has 64 divisors (see below), whose sum is σ = 5527388160. Its totient is φ = 806037120.

The previous prime is 2234250019. The next prime is 2234250043. The reversal of 2234250040 is 400524322.

2234250040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2234249993 and 2234250020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234250043) 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, 35889 + ... + 75871.

It is an arithmetic number, because the mean of its divisors is an integer number (86365440).

Almost surely, 22234250040 is an apocalyptic number.

2234250040 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 2234250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763694080).

2234250040 is an abundant number, since it is smaller than the sum of its proper divisors (3293138120).

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

2234250040 is a wasteful number, since it uses less digits than its factorization.

2234250040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40132 (or 40128 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2234250040 is about 47267.8541928867. The cubic root of 2234250040 is about 1307.3060111646.

Adding to 2234250040 its reverse (400524322), we get a palindrome (2634774362).

The spelling of 2234250040 in words is "two billion, two hundred thirty-four million, two hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1270 1397 2540 2794 5080 5588 6985 11176 13970 27940 39983 55880 79966 159932 199915 319864 399830 439813 799660 879626 1599320 1759252 2199065 3518504 4398130 5077841 8796260 10155682 17592520 20311364 25389205 40622728 50778410 55856251 101556820 111712502 203113640 223425004 279281255 446850008 558562510 1117125020 2234250040