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22300131024 = 2432241642581
BaseRepresentation
bin10100110001001100…
…001111111011010000
32010120010122000211200
4110301030033323100
5331132313143044
614124453111200
71416421662153
oct246114177320
963503560750
1022300131024
11950392a556
1243a4328500
132145097602
141117989c9a
158a7b66369
hex53130fed0

22300131024 has 60 divisors (see below), whose sum is σ = 62668452132. Its totient is φ = 7402521600.

The previous prime is 22300131019. The next prime is 22300131043. The reversal of 22300131024 is 42013100322.

It can be written as a sum of positive squares in 2 ways, for example, as 18534099600 + 3766031424 = 136140^2 + 61368^2 .

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 = 22300130988 and 22300131006.

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 11 ways as a sum of consecutive naturals, for example, 286587 + ... + 355994.

Almost surely, 222300131024 is an apocalyptic number.

22300131024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22300131024 is an abundant number, since it is smaller than the sum of its proper divisors (40368321108).

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

22300131024 is a wasteful number, since it uses less digits than its factorization.

22300131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642836 (or 642827 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22300131024 its reverse (42013100322), we get a palindrome (64313231346).

The spelling of 22300131024 in words is "twenty-two billion, three hundred million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1446 1928 2169 2892 3856 4338 5784 8676 11568 17352 34704 642581 1285162 1927743 2570324 3855486 5140648 5783229 7710972 10281296 11566458 15421944 23132916 30843888 46265832 92531664 154862021 309724042 464586063 619448084 929172126 1238896168 1393758189 1858344252 2477792336 2787516378 3716688504 5575032756 7433377008 11150065512 22300131024