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22400422242 = 23114177310709
BaseRepresentation
bin10100110111001010…
…110101000101100010
32010211010100100112020
4110313022311011202
5331334002002432
614142434442310
71422050306322
oct246712650542
963733310466
1022400422242
1195554aa860
124411a33396
13215cab0823
141127015282
158b187722c
hex5372b5162

22400422242 has 64 divisors (see below), whose sum is σ = 50135137920. Its totient is φ = 6613260800.

The previous prime is 22400422241. The next prime is 22400422307. The reversal of 22400422242 is 24222400422.

It is not an unprimeable number, because it can be changed into a prime (22400422241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2086384 + ... + 2097092.

It is an arithmetic number, because the mean of its divisors is an integer number (783361530).

Almost surely, 222400422242 is an apocalyptic number.

22400422242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22400422242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25067568960).

22400422242 is an abundant number, since it is smaller than the sum of its proper divisors (27734715678).

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

22400422242 is a wasteful number, since it uses less digits than its factorization.

22400422242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11539.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22400422242 its reverse (24222400422), we get a palindrome (46622822664).

The spelling of 22400422242 in words is "twenty-two billion, four hundred million, four hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 773 902 1353 1546 2319 2706 4638 8503 10709 17006 21418 25509 31693 32127 51018 63386 64254 95079 117799 190158 235598 348623 353397 439069 697246 706794 878138 1045869 1317207 2091738 2634414 4829759 8278057 9659518 14489277 16556114 24834171 28978554 49668342 91058627 182117254 273175881 339400337 546351762 678800674 1018201011 2036402022 3733403707 7466807414 11200211121 22400422242