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99000200 = 235213229101
BaseRepresentation
bin1011110011010…
…01111110001000
320220021201202002
411321221332020
5200321001300
613453530132
72311326215
oct571517610
9226251662
1099000200
1150979352
12291a3948
1317683700
14d210b0c
158a585d5
hex5e69f88

99000200 has 144 divisors (see below), whose sum is σ = 260390700. Its totient is φ = 34944000.

The previous prime is 99000157. The next prime is 99000217. The reversal of 99000200 is 200099.

It can be written as a sum of positive squares in 18 ways, for example, as 5026564 + 93973636 = 2242^2 + 9694^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 980150 + ... + 980250.

Almost surely, 299000200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130195350).

99000200 is an abundant number, since it is smaller than the sum of its proper divisors (161390500).

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

99000200 is a wasteful number, since it uses less digits than its factorization.

99000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 99000200 is about 9949.8844214393. The cubic root of 99000200 is about 462.6068124376.

Adding to 99000200 its reverse (200099), we get a palindrome (99200299).

The spelling of 99000200 in words is "ninety-nine million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 101 104 116 130 145 169 200 202 232 260 290 325 338 377 404 505 520 580 650 676 725 754 808 845 1010 1160 1300 1313 1352 1450 1508 1690 1885 2020 2525 2600 2626 2900 2929 3016 3380 3770 4040 4225 4901 5050 5252 5800 5858 6565 6760 7540 8450 9425 9802 10100 10504 11716 13130 14645 15080 16900 17069 18850 19604 20200 23432 24505 26260 29290 32825 33800 34138 37700 38077 39208 49010 52520 58580 65650 68276 73225 75400 76154 85345 98020 117160 122525 131300 136552 146450 152308 170690 190385 196040 245050 262600 292900 304616 341380 380770 426725 490100 495001 585800 682760 761540 853450 951925 980200 990002 1523080 1706900 1903850 1980004 2475005 3413800 3807700 3960008 4950010 7615400 9900020 12375025 19800040 24750050 49500100 99000200