Search a number
-
+
40222000 = 2453713217
BaseRepresentation
bin1001100101101…
…1110100110000
32210200111012201
42121123310300
540244101000
63554032544
7665611210
oct231336460
983614181
1040222000
1120782425
1211578754
138443900
1454b0240
1537e796a
hex265bd30

40222000 has 240 divisors, whose sum is σ = 127438272. Its totient is φ = 11980800.

The previous prime is 40221991. The next prime is 40222003. The reversal of 40222000 is 22204.

It is a happy number.

40222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365992 + ... + 2366008.

Almost surely, 240222000 is an apocalyptic number.

40222000 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 40222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63719136).

40222000 is an abundant number, since it is smaller than the sum of its proper divisors (87216272).

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

40222000 is a wasteful number, since it uses less digits than its factorization.

40222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 40222000 is about 6342.0816771782. The cubic root of 40222000 is about 342.6267135528.

Adding to 40222000 its reverse (22204), we get a palindrome (40244204).

The spelling of 40222000 in words is "forty million, two hundred twenty-two thousand".