Search a number
-
+
109223744 = 2672291201
BaseRepresentation
bin1101000001010…
…01111101000000
321121112010210212
412200221331000
5210430124434
614501013252
72464246400
oct640517500
9247463725
10109223744
1156721463
12306b4228
1319822c46
1410712800
1598c78ce
hex6829f40

109223744 has 84 divisors (see below), whose sum is σ = 261038340. Its totient is φ = 45158400.

The previous prime is 109223731. The next prime is 109223749. The reversal of 109223744 is 447322901.

It can be written as a sum of positive squares in 2 ways, for example, as 18593344 + 90630400 = 4312^2 + 9520^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 109223744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109223749) 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 11 ways as a sum of consecutive naturals, for example, 90344 + ... + 91544.

Almost surely, 2109223744 is an apocalyptic number.

109223744 is a gapful number since it is divisible by the number (14) 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 109223744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130519170).

109223744 is an abundant number, since it is smaller than the sum of its proper divisors (151814596).

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

109223744 is a wasteful number, since it uses less digits than its factorization.

109223744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 109223744 is about 10451.0164099000. The cubic root of 109223744 is about 478.0122427027.

The spelling of 109223744 in words is "one hundred nine million, two hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 196 203 224 232 392 406 448 464 784 812 928 1201 1421 1568 1624 1856 2402 2842 3136 3248 4804 5684 6496 8407 9608 11368 12992 16814 19216 22736 33628 34829 38432 45472 58849 67256 69658 76864 90944 117698 134512 139316 235396 243803 269024 278632 470792 487606 538048 557264 941584 975212 1114528 1706621 1883168 1950424 2229056 3413242 3766336 3900848 6826484 7801696 13652968 15603392 27305936 54611872 109223744