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106224288 = 2531958237
BaseRepresentation
bin1100101010011…
…01101010100000
321101212202022220
412111031222200
5204143134123
614312431040
72426614542
oct625155240
9241782286
10106224288
1154a62975
122b6a8480
1319012911
1410171692
1594d3ce3
hex654daa0

106224288 has 48 divisors (see below), whose sum is σ = 293519520. Its totient is φ = 33543936.

The previous prime is 106224263. The next prime is 106224323. The reversal of 106224288 is 882422601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1062242882 = 22567198722213888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27295 + ... + 30942.

It is an arithmetic number, because the mean of its divisors is an integer number (6114990).

Almost surely, 2106224288 is an apocalyptic number.

It is an amenable number.

106224288 is an abundant number, since it is smaller than the sum of its proper divisors (187295232).

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

106224288 is a wasteful number, since it uses less digits than its factorization.

106224288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58269 (or 58261 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 106224288 is about 10306.5167733818. The cubic root of 106224288 is about 473.5959097681.

Adding to 106224288 its reverse (882422601), we get a palindrome (988646889).

The spelling of 106224288 in words is "one hundred six million, two hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 58237 116474 174711 232948 349422 465896 698844 931792 1106503 1397688 1863584 2213006 2795376 3319509 4426012 5590752 6639018 8852024 13278036 17704048 26556072 35408096 53112144 106224288