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4000232240 = 245415323011
BaseRepresentation
bin1110111001101110…
…1011001100110000
3101022210010212000122
43232123223030300
531143024412430
61500534505412
7201062261444
oct35633531460
911283125018
104000232240
111773032764
12937805268
134b99a3334
1429d3b4824
151862bdee5
hexee6eb330

4000232240 has 80 divisors (see below), whose sum is σ = 9707566176. Its totient is φ = 1531545600.

The previous prime is 4000232237. The next prime is 4000232261. The reversal of 4000232240 is 422320004.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162335 + ... + 185345.

Almost surely, 24000232240 is an apocalyptic number.

4000232240 is a gapful number since it is divisible by the number (40) 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 4000232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853783088).

4000232240 is an abundant number, since it is smaller than the sum of its proper divisors (5707333936).

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

4000232240 is a wasteful number, since it uses less digits than its factorization.

4000232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23118 (or 23112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4000232240 is about 63247.3891951280. The cubic root of 4000232240 is about 1587.4317728753.

Adding to 4000232240 its reverse (422320004), we get a palindrome (4422552244).

The spelling of 4000232240 in words is "four billion, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 53 80 82 106 164 205 212 265 328 410 424 530 656 820 848 1060 1640 2120 2173 3280 4240 4346 8692 10865 17384 21730 23011 34768 43460 46022 86920 92044 115055 173840 184088 230110 368176 460220 920440 943451 1219583 1840880 1886902 2439166 3773804 4717255 4878332 6097915 7547608 9434510 9756664 12195830 15095216 18869020 19513328 24391660 37738040 48783320 50002903 75476080 97566640 100005806 200011612 250014515 400023224 500029030 800046448 1000058060 2000116120 4000232240