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105522042224 = 24191619214399
BaseRepresentation
bin110001001000110011…
…0101001010101110000
3101002101000100011010002
41202101212221111300
53212102120322344
6120250503325132
710423635362654
oct1422146512560
9332330304102
10105522042224
114082a495165
121854b1507a8
139c48870251
1451705b4a64
152b28e1044e
hex18919a9570

105522042224 has 40 divisors (see below), whose sum is σ = 215343360000. Its totient is φ = 49953018816.

The previous prime is 105522042209. The next prime is 105522042229. The reversal of 105522042224 is 422240225501.

It is a happy number.

It is a super-2 number, since 2×1055220422242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105522042229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384977 + ... + 599375.

It is an arithmetic number, because the mean of its divisors is an integer number (5383584000).

Almost surely, 2105522042224 is an apocalyptic number.

It is an amenable number.

105522042224 is an abundant number, since it is smaller than the sum of its proper divisors (109821317776).

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

105522042224 is a wasteful number, since it uses less digits than its factorization.

105522042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216045 (or 216039 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 105522042224 its reverse (422240225501), we get a palindrome (527762267725).

The spelling of 105522042224 in words is "one hundred five billion, five hundred twenty-two million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 1619 3238 6476 12952 25904 30761 61522 123044 214399 246088 428798 492176 857596 1715192 3430384 4073581 8147162 16294324 32588648 65177296 347111981 694223962 1388447924 2776895848 5553791696 6595127639 13190255278 26380510556 52761021112 105522042224