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22422424420000 = 2554114711231931
BaseRepresentation
bin1010001100100101000001…
…01001000111111010100000
32221101120012022101021212201
411012102200221013322200
510414332111122420000
6115404415232302544
74502652402606523
oct506224051077240
987346168337781
1022422424420000
11716532a040930
1226217486a1a54
13c6856bc19bc7
14577373170bba
1528d3d327496a
hex1464a0a47ea0

22422424420000 has 480 divisors, whose sum is σ = 61544252335104. Its totient is φ = 7968892800000.

The previous prime is 22422424419991. The next prime is 22422424420051. The reversal of 22422424420000 is 2442422422.

It is a super-2 number, since 2×224224244200002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11611819035 + ... + 11611820965.

Almost surely, 222422424420000 is an apocalyptic number.

22422424420000 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 22422424420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30772126167552).

22422424420000 is an abundant number, since it is smaller than the sum of its proper divisors (39121827915104).

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

22422424420000 is a wasteful number, since it uses less digits than its factorization.

22422424420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 22422424420000 its reverse (2442422422), we get a palindrome (22424866842422).

The spelling of 22422424420000 in words is "twenty-two trillion, four hundred twenty-two billion, four hundred twenty-four million, four hundred twenty thousand".