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22426620003144 = 2333741810144657
BaseRepresentation
bin1010001100101100110101…
…01110000000001101001000
32221101222000201002222222000
411012112122232000031020
510414414204210100034
6115410351430231000
74503161356513410
oct506263256001510
987358021088860
1022426620003144
117167092370615
1226225197b5460
13c68a8a20a396
14577650477640
1528d57b780599
hex14659ab80348

22426620003144 has 256 divisors, whose sum is σ = 72942733785600. Its totient is φ = 6250411008000.

The previous prime is 22426620003143. The next prime is 22426620003173. The reversal of 22426620003144 is 44130002662422.

22426620003144 is a `hidden beast` number, since 2 + 2 + 4 + 26 + 620 + 0 + 0 + 3 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22426620003099 and 22426620003108.

It is not an unprimeable number, because it can be changed into a prime (22426620003143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502174864 + ... + 502219520.

It is an arithmetic number, because the mean of its divisors is an integer number (284932553850).

Almost surely, 222426620003144 is an apocalyptic number.

22426620003144 is a gapful number since it is divisible by the number (24) 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 22426620003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36471366892800).

22426620003144 is an abundant number, since it is smaller than the sum of its proper divisors (50516113782456).

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

22426620003144 is a wasteful number, since it uses less digits than its factorization.

22426620003144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52821 (or 52811 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 22426620003144 its reverse (44130002662422), we get a palindrome (66556622665566).

The spelling of 22426620003144 in words is "twenty-two trillion, four hundred twenty-six billion, six hundred twenty million, three thousand, one hundred forty-four".