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99442224 = 24327472099
BaseRepresentation
bin1011110110101…
…01111000110000
320221010012002100
411323111320300
5200424122344
613511220400
72315150010
oct573257060
9227105070
1099442224
1151150462
1229377700
13177a996b
14d2c7c40
158ae4569
hex5ed5e30

99442224 has 120 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 27794304.

The previous prime is 99442207. The next prime is 99442229. The reversal of 99442224 is 42224499.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99442229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46327 + ... + 48425.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 299442224 is an apocalyptic number.

99442224 is a gapful number since it is divisible by the number (94) 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 99442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

99442224 is an abundant number, since it is smaller than the sum of its proper divisors (225536976).

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

99442224 is a wasteful number, since it uses less digits than its factorization.

99442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2158 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 99442224 is about 9972.0722019047. The cubic root of 99442224 is about 463.2942849045.

The spelling of 99442224 in words is "ninety-nine million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2099 2256 2632 2961 3384 3948 4198 5264 5922 6297 6768 7896 8396 11844 12594 14693 15792 16792 18891 23688 25188 29386 33584 37782 44079 47376 50376 58772 75564 88158 98653 100752 117544 132237 151128 176316 197306 235088 264474 295959 302256 352632 394612 528948 591918 690571 705264 789224 887877 1057896 1183836 1381142 1578448 1775754 2071713 2115792 2367672 2762284 3551508 4143426 4735344 5524568 6215139 7103016 8286852 11049136 12430278 14206032 16573704 24860556 33147408 49721112 99442224