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4223386440 = 233357313877
BaseRepresentation
bin1111101110111011…
…1100001101001000
3101220100001021001000
43323232330031020
532122141331230
61535025455000
7206442123000
oct37356741510
911810037030
104223386440
111877a9a819
1299a4a1460
13523ca6640
142c0ca3000
1519ab9db60
hexfbbbc348

4223386440 has 512 divisors, whose sum is σ = 17700480000. Its totient is φ = 890072064.

The previous prime is 4223386403. The next prime is 4223386451. The reversal of 4223386440 is 446833224.

4223386440 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 3 + 8 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4223386395 and 4223386404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4815282 + ... + 4816158.

It is an arithmetic number, because the mean of its divisors is an integer number (34571250).

Almost surely, 24223386440 is an apocalyptic number.

4223386440 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 4223386440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8850240000).

4223386440 is an abundant number, since it is smaller than the sum of its proper divisors (13477093560).

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

4223386440 is a wasteful number, since it uses less digits than its factorization.

4223386440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4223386440 is about 64987.5868147141. The cubic root of 4223386440 is about 1616.4177360490.

The spelling of 4223386440 in words is "four billion, two hundred twenty-three million, three hundred eighty-six thousand, four hundred forty".