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22041402000 = 243534721663
BaseRepresentation
bin10100100001110001…
…010001101010010000
32002220002210020100020
4110201301101222100
5330120044331000
614043051423440
71410130553142
oct244161215220
962802706306
1022041402000
119390884612
124331754b80
1321035b9a07
1410d147ac92
158900aaba0
hex521c51a90

22041402000 has 240 divisors, whose sum is σ = 72649254912. Its totient is φ = 5749190400.

The previous prime is 22041401971. The next prime is 22041402007. The reversal of 22041402000 is 20414022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22041402007) 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, 13253169 + ... + 13254831.

Almost surely, 222041402000 is an apocalyptic number.

22041402000 is a gapful number since it is divisible by the number (20) 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 22041402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324627456).

22041402000 is an abundant number, since it is smaller than the sum of its proper divisors (50607852912).

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

22041402000 is a wasteful number, since it uses less digits than its factorization.

22041402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22041402000 its reverse (20414022), we get a palindrome (22061816022).

The spelling of 22041402000 in words is "twenty-two billion, forty-one million, four hundred two thousand".