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4023221440 = 26572379677
BaseRepresentation
bin1110111111001101…
…0111110011000000
3101101101101211021111
43233303113303000
531214421041230
61503115333104
7201461550400
oct35763276300
911341354244
104023221440
1117850048a7
12943451194
134c1692204
142a247a800
1518831092a
hexefcd7cc0

4023221440 has 168 divisors, whose sum is σ = 11190335760. Its totient is φ = 1373718528.

The previous prime is 4023221393. The next prime is 4023221441. The reversal of 4023221440 is 441223204.

It is a happy number.

It is a super-3 number, since 3×40232214403 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4023221441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5942382 + ... + 5943058.

Almost surely, 24023221440 is an apocalyptic number.

4023221440 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 4023221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595167880).

4023221440 is an abundant number, since it is smaller than the sum of its proper divisors (7167114320).

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

4023221440 is a wasteful number, since it uses less digits than its factorization.

4023221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4023221440 is about 63428.8691370105. The cubic root of 4023221440 is about 1590.4669382657.

Adding to 4023221440 its reverse (441223204), we get a palindrome (4464444644).

The spelling of 4023221440 in words is "four billion, twenty-three million, two hundred twenty-one thousand, four hundred forty".