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99007218 = 23317293719
BaseRepresentation
bin1011110011010…
…11101011110010
320220022002101000
411321223223302
5200321212333
613454022430
72311355532
oct571535362
9226262330
1099007218
1150983652
12291a7a16
131768696b
14d2134c2
158a5a713
hex5e6baf2

99007218 has 64 divisors (see below), whose sum is σ = 241056000. Its totient is φ = 29981952.

The previous prime is 99007217. The next prime is 99007229. The reversal of 99007218 is 81270099.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99007217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24763 + ... + 28481.

It is an arithmetic number, because the mean of its divisors is an integer number (3766500).

Almost surely, 299007218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99007218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528000).

99007218 is an abundant number, since it is smaller than the sum of its proper divisors (142048782).

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

99007218 is a wasteful number, since it uses less digits than its factorization.

99007218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 99007218 is about 9950.2370826026. The cubic root of 99007218 is about 462.6177433849.

It can be divided in two parts, 99007 and 218, that added together give a square (99225 = 3152).

The spelling of 99007218 in words is "ninety-nine million, seven thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 261 306 459 493 522 783 918 986 1479 1566 2958 3719 4437 7438 8874 11157 13311 22314 26622 33471 63223 66942 100413 107851 126446 189669 200826 215702 323553 379338 569007 647106 970659 1138014 1707021 1833467 1941318 2911977 3414042 3666934 5500401 5823954 11000802 16501203 33002406 49503609 99007218