Search a number
-
+
99253224 = 2332734019
BaseRepresentation
bin1011110101001…
…11101111101000
320220202120211100
411322213233220
5200402100344
613503201400
72313432000
oct572475750
9226676740
1099253224
1151031464
12292a6260
1317741925
14d279000
158aa8569
hex5ea7be8

99253224 has 96 divisors (see below), whose sum is σ = 313560000. Its totient is φ = 28351008.

The previous prime is 99253171. The next prime is 99253229. The reversal of 99253224 is 42235299.

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

It is not an unprimeable number, because it can be changed into a prime (99253229) 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 23 ways as a sum of consecutive naturals, for example, 22687 + ... + 26705.

It is an arithmetic number, because the mean of its divisors is an integer number (3266250).

Almost surely, 299253224 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 99253224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156780000).

99253224 is an abundant number, since it is smaller than the sum of its proper divisors (214306776).

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

99253224 is a wasteful number, since it uses less digits than its factorization.

99253224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4031 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 99253224 is about 9962.5912291933. The cubic root of 99253224 is about 463.0005862159. Note that the first 3 decimals are identical.

The spelling of 99253224 in words is "ninety-nine million, two hundred fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4019 4116 6174 8038 8232 12057 12348 16076 24114 24696 28133 32152 36171 48228 56266 72342 84399 96456 112532 144684 168798 196931 225064 253197 289368 337596 393862 506394 590793 675192 787724 1012788 1181586 1378517 1575448 1772379 2025576 2363172 2757034 3544758 4135551 4726344 5514068 7089516 8271102 11028136 12406653 14179032 16542204 24813306 33084408 49626612 99253224