Search a number
-
+
99922944 = 2103112957
BaseRepresentation
bin1011111010010…
…11010000000000
320222000121111210
411331023100000
5201040013234
613525410120
72322221352
oct575132000
9228017453
1099922944
1151449650
1229569940
1317917704
14d3b10d2
158b8bbe9
hex5f4b400

99922944 has 88 divisors (see below), whose sum is σ = 290641248. Its totient is φ = 30269440.

The previous prime is 99922943. The next prime is 99922961. The reversal of 99922944 is 44922999.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 99922893 and 99922902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99922943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32314 + ... + 35270.

Almost surely, 299922944 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 99922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145320624).

99922944 is an abundant number, since it is smaller than the sum of its proper divisors (190718304).

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

99922944 is a wasteful number, since it uses less digits than its factorization.

99922944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2973 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 99922944 is about 9996.1464575105. The cubic root of 99922944 is about 464.0396319695.

Subtracting from 99922944 its reverse (44922999), we obtain a palindrome (54999945).

The spelling of 99922944 in words is "ninety-nine million, nine hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 2957 3072 4224 5632 5914 8448 8871 11264 11828 16896 17742 23656 32527 33792 35484 47312 65054 70968 94624 97581 130108 141936 189248 195162 260216 283872 378496 390324 520432 567744 756992 780648 1040864 1135488 1513984 1561296 2081728 2270976 3027968 3122592 4163456 4541952 6245184 8326912 9083904 12490368 16653824 24980736 33307648 49961472 99922944