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107224416 = 25321322203
BaseRepresentation
bin1100110010000…
…01110101100000
321110202120020200
412121001311200
5204422140131
614350105200
72441251425
oct631016540
9243676220
10107224416
1155586322
122baab200
13192a2c00
1410351d4c
1596302e6
hex6641d60

107224416 has 108 divisors (see below), whose sum is σ = 330328908. Its totient is φ = 32977152.

The previous prime is 107224387. The next prime is 107224427. The reversal of 107224416 is 614422701.

It is a super-2 number, since 2×1072244162 = 22994150773082112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107224416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47571 + ... + 49773.

It is an arithmetic number, because the mean of its divisors is an integer number (3058601).

Almost surely, 2107224416 is an apocalyptic number.

107224416 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 107224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165164454).

107224416 is an abundant number, since it is smaller than the sum of its proper divisors (223104492).

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

107224416 is a wasteful number, since it uses less digits than its factorization.

107224416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107224416 is about 10354.9223077723. The cubic root of 107224416 is about 475.0776102179.

The spelling of 107224416 in words is "one hundred seven million, two hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2203 2704 3042 3744 4056 4406 5408 6084 6609 8112 8812 12168 13218 16224 17624 19827 24336 26436 28639 35248 39654 48672 52872 57278 70496 79308 85917 105744 114556 158616 171834 211488 229112 257751 317232 343668 372307 458224 515502 634464 687336 744614 916448 1031004 1116921 1374672 1489228 2062008 2233842 2749344 2978456 3350763 4124016 4467684 5956912 6701526 8248032 8935368 11913824 13403052 17870736 26806104 35741472 53612208 107224416