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4000224200 = 235272857303
BaseRepresentation
bin1110111001101110…
…1001001111001000
3101022210010102222212
43232123221033020
531143024133300
61500534404252
7201062226140
oct35633511710
911283112885
104000224200
111773027715
12937800688
134b999c78b
1429d3b1920
151862bb935
hexee6e93c8

4000224200 has 48 divisors (see below), whose sum is σ = 10629170880. Its totient is φ = 1371504960.

The previous prime is 4000224187. The next prime is 4000224203. The reversal of 4000224200 is 24220004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (4000224203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1427252 + ... + 1430051.

It is an arithmetic number, because the mean of its divisors is an integer number (221441060).

Almost surely, 24000224200 is an apocalyptic number.

4000224200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000224200 is an abundant number, since it is smaller than the sum of its proper divisors (6628946680).

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

4000224200 is a wasteful number, since it uses less digits than its factorization.

4000224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857326 (or 2857317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4000224200 is about 63247.3256351603. The cubic root of 4000224200 is about 1587.4307093571.

Adding to 4000224200 its reverse (24220004), we get a palindrome (4024444204).

The spelling of 4000224200 in words is "four billion, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2857303 5714606 11429212 14286515 20001121 22858424 28573030 40002242 57146060 71432575 80004484 100005605 114292120 142865150 160008968 200011210 285730300 400022420 500028025 571460600 800044840 1000056050 2000112100 4000224200