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106744224 = 2531765407
BaseRepresentation
bin1100101110011…
…00100110100000
321102212011112210
412113030212200
5204311303344
614331522120
72434211436
oct627144640
9242764483
10106744224
1155288574
122b8b9340
1319165482
1410268d56
159587db9
hex65cc9a0

106744224 has 48 divisors (see below), whose sum is σ = 296690688. Its totient is φ = 33487872.

The previous prime is 106744193. The next prime is 106744243. The reversal of 106744224 is 422447601.

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

It is a super-2 number, since 2×1067442242 = 22788658714724352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106744191 and 106744200.

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, 31072 + ... + 34335.

It is an arithmetic number, because the mean of its divisors is an integer number (6181056).

Almost surely, 2106744224 is an apocalyptic number.

It is an amenable number.

106744224 is an abundant number, since it is smaller than the sum of its proper divisors (189946464).

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

106744224 is a wasteful number, since it uses less digits than its factorization.

106744224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65437 (or 65429 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 106744224 is about 10331.7096358734. The cubic root of 106744224 is about 474.3673557348.

The spelling of 106744224 in words is "one hundred six million, seven hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 65407 130814 196221 261628 392442 523256 784884 1046512 1111919 1569768 2093024 2223838 3139536 3335757 4447676 6279072 6671514 8895352 13343028 17790704 26686056 35581408 53372112 106744224