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4000223240 = 235132591749
BaseRepresentation
bin1110111001101110…
…1001000000001000
3101022210010101200022
43232123221000020
531143024120430
61500534400012
7201062223266
oct35633510010
911283111608
104000223240
111773026a22
12937800008
134b999c200
1429d3b1436
151862bb4e5
hexee6e9008

4000223240 has 48 divisors (see below), whose sum is σ = 9746122500. Its totient is φ = 1477003008.

The previous prime is 4000223237. The next prime is 4000223299. The reversal of 4000223240 is 423220004.

It can be written as a sum of positive squares in 6 ways, for example, as 2696164 + 3997527076 = 1642^2 + 63226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289115 + ... + 302634.

Almost surely, 24000223240 is an apocalyptic number.

4000223240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000223240 is an abundant number, since it is smaller than the sum of its proper divisors (5745899260).

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

4000223240 is a wasteful number, since it uses less digits than its factorization.

4000223240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591786 (or 591769 counting only the distinct ones).

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

The square root of 4000223240 is about 63247.3180459061. The cubic root of 4000223240 is about 1587.4305823697.

Adding to 4000223240 its reverse (423220004), we get a palindrome (4423443244).

The spelling of 4000223240 in words is "four billion, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 591749 1183498 2366996 2958745 4733992 5917490 7692737 11834980 15385474 23669960 30770948 38463685 61541896 76927370 100005581 153854740 200011162 307709480 400022324 500027905 800044648 1000055810 2000111620 4000223240