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4000233244 = 227374019629
BaseRepresentation
bin1110111001101110…
…1011011100011100
3101022210010220101211
43232123223130130
531143024430434
61500534514204
7201062264410
oct35633533434
911283126354
104000233244
111773033497
12937805964
134b99a3927
1429d3b4d40
151862be464
hexee6eb71c

4000233244 has 48 divisors (see below), whose sum is σ = 8238041280. Its totient is φ = 1663718400.

The previous prime is 4000233241. The next prime is 4000233253. The reversal of 4000233244 is 4423320004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000233241) 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, 410622 + ... + 420250.

It is an arithmetic number, because the mean of its divisors is an integer number (171625860).

Almost surely, 24000233244 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 4000233244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119020640).

4000233244 is an abundant number, since it is smaller than the sum of its proper divisors (4237808036).

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

4000233244 is a wasteful number, since it uses less digits than its factorization.

4000233244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10078 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4000233244 is about 63247.3971322141. The cubic root of 4000233244 is about 1587.4319056828.

Adding to 4000233244 its reverse (4423320004), we get a palindrome (8423553248).

The spelling of 4000233244 in words is "four billion, two hundred thirty-three thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 37 74 148 259 401 518 802 1036 1604 2807 5614 9629 11228 14837 19258 29674 38516 59348 67403 103859 134806 207718 269612 356273 415436 712546 1425092 2493911 3861229 4987822 7722458 9975644 15444916 27028603 54057206 108114412 142865473 285730946 571461892 1000058311 2000116622 4000233244