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22440222100104 = 23317237831053509
BaseRepresentation
bin1010001101000110001010…
…11101111000101010001000
32221110021010122212010011220
411012203011131320222020
510420130033324200404
6115420521250322040
74504152423442644
oct506430535705210
987407118763156
1022440222100104
1171719323a6366
122625094b89320
13c6a147260273
14578180b73c24
1528dac59b64d9
hex1468c5778a88

22440222100104 has 192 divisors, whose sum is σ = 61942848206400. Its totient is φ = 6767263420416.

The previous prime is 22440222100103. The next prime is 22440222100111. The reversal of 22440222100104 is 40100122204422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22440222100103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20773702 + ... + 21827210.

It is an arithmetic number, because the mean of its divisors is an integer number (322619001075).

Almost surely, 222440222100104 is an apocalyptic number.

22440222100104 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 22440222100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30971424103200).

22440222100104 is an abundant number, since it is smaller than the sum of its proper divisors (39502626106296).

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

22440222100104 is a wasteful number, since it uses less digits than its factorization.

22440222100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053672 (or 1053651 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22440222100104 its reverse (40100122204422), we get a palindrome (62540344304526).

The spelling of 22440222100104 in words is "twenty-two trillion, four hundred forty billion, two hundred twenty-two million, one hundred thousand, one hundred four".