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106228496 = 2411718501
BaseRepresentation
bin1100101010011…
…10101100010000
321101212222002202
412111032230100
5204143302441
614312502332
72426633033
oct625165420
9241788082
10106228496
1154a66050
122b6aa9a8
13190147ca
141017301a
1594d519b
hex654eb10

106228496 has 40 divisors (see below), whose sum is σ = 227717568. Its totient is φ = 47600000.

The previous prime is 106228481. The next prime is 106228501. The reversal of 106228496 is 694822601.

It is a super-2 number, since 2×1062284962 = 22568986724844032, 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, 8246 + ... + 16746.

Almost surely, 2106228496 is an apocalyptic number.

106228496 is a gapful number since it is divisible by the number (16) 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 106228496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113858784).

106228496 is an abundant number, since it is smaller than the sum of its proper divisors (121489072).

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

106228496 is a wasteful number, since it uses less digits than its factorization.

106228496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 106228496 is about 10306.7209140444. The cubic root of 106228496 is about 473.6021634078.

The spelling of 106228496 in words is "one hundred six million, two hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 8501 12496 17002 34004 68008 93511 136016 187022 374044 603571 748088 1207142 1496176 2414284 4828568 6639281 9657136 13278562 26557124 53114248 106228496