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99202320 = 2431157
BaseRepresentation
bin1011110100110…
…11010100010000
320220200000000000
411322123110100
5200343433240
613502130000
72313130410
oct572332420
9226600000
1099202320
1150aa7198
1229280900
13177246c9
14d264640
158a98430
hex5e9b510

99202320 has 240 divisors, whose sum is σ = 395391360. Its totient is φ = 22674816.

The previous prime is 99202309. The next prime is 99202339. The reversal of 99202320 is 2320299.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×992023202 = 19682200586764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14171757 + ... + 14171763.

It is an arithmetic number, because the mean of its divisors is an integer number (1647464).

Almost surely, 299202320 is an apocalyptic number.

99202320 is a gapful number since it is divisible by the number (90) 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 99202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197695680).

99202320 is an abundant number, since it is smaller than the sum of its proper divisors (296189040).

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

99202320 is an frugal number, since it uses more digits than its factorization.

99202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 99202320 is about 9960.0361445127. The cubic root of 99202320 is about 462.9214196449.

The spelling of 99202320 in words is "ninety-nine million, two hundred two thousand, three hundred twenty".