Search a number
-
+
221002131024 = 2433511579007
BaseRepresentation
bin1100110111010011000…
…0001110011001010000
3210010110000111111002000
43031310300032121100
512110103021143044
6245305454354000
721652432055463
oct3156460163120
9703400444060
10221002131024
11857a9a3a084
12369b91bb900
1317ac04cbc3c
14a9a750b2da
155b37192d69
hex3374c0e650

221002131024 has 40 divisors (see below), whose sum is σ = 634357969920. Its totient is φ = 73667376864.

The previous prime is 221002131019. The next prime is 221002131073. The reversal of 221002131024 is 420131200122.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 221002130988 and 221002131006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255789072 + ... + 255789935.

It is an arithmetic number, because the mean of its divisors is an integer number (15858949248).

Almost surely, 2221002131024 is an apocalyptic number.

221002131024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221002131024 is an abundant number, since it is smaller than the sum of its proper divisors (413355838896).

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

221002131024 is a wasteful number, since it uses less digits than its factorization.

221002131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511579024 (or 511579012 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221002131024 its reverse (420131200122), we get a palindrome (641133331146).

The spelling of 221002131024 in words is "two hundred twenty-one billion, two million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 511579007 1023158014 1534737021 2046316028 3069474042 4092632056 4604211063 6138948084 8185264112 9208422126 12277896168 13812633189 18416844252 24555792336 27625266378 36833688504 55250532756 73667377008 110501065512 221002131024