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20221011144 = 2332280847377
BaseRepresentation
bin10010110101010001…
…000010010011001000
31221012020101210112200
4102311101002103020
5312403034324034
613142302240200
71314044521155
oct226521022310
957166353480
1020221011144
118637262a64
123b03b86060
131ba340a669
14d9b7b722c
157d5375a99
hex4b54424c8

20221011144 has 24 divisors (see below), whose sum is σ = 54765238710. Its totient is φ = 6740337024.

The previous prime is 20221011143. The next prime is 20221011149. The reversal of 20221011144 is 44111012202.

It can be written as a sum of positive squares in only one way, i.e., 14842548900 + 5378462244 = 121830^2 + 73338^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20221011143) 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 5 ways as a sum of consecutive naturals, for example, 140423617 + ... + 140423760.

Almost surely, 220221011144 is an apocalyptic number.

20221011144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20221011144 is an abundant number, since it is smaller than the sum of its proper divisors (34544227566).

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

20221011144 is a wasteful number, since it uses less digits than its factorization.

20221011144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280847389 (or 280847382 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20221011144 its reverse (44111012202), we get a palindrome (64332023346).

The spelling of 20221011144 in words is "twenty billion, two hundred twenty-one million, eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 280847377 561694754 842542131 1123389508 1685084262 2246779016 2527626393 3370168524 5055252786 6740337048 10110505572 20221011144