Search a number
-
+
23005321440 = 2535448310691
BaseRepresentation
bin10101011011001110…
…010101100011100000
32012101021120102020020
4111123032111203200
5334103330241230
614322443513440
71443044001663
oct253316254340
965337512206
1023005321440
1198359a4552
124560528880
13222820334a
1411834b56da
158e9a11810
hex55b3958e0

23005321440 has 96 divisors (see below), whose sum is σ = 72489707136. Its totient is φ = 6132810240.

The previous prime is 23005321439. The next prime is 23005321447. The reversal of 23005321440 is 4412350032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23005321440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23005321447) 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 15 ways as a sum of consecutive naturals, for example, 2146495 + ... + 2157185.

It is an arithmetic number, because the mean of its divisors is an integer number (755101116).

Almost surely, 223005321440 is an apocalyptic number.

23005321440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23005321440 is an abundant number, since it is smaller than the sum of its proper divisors (49484385696).

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

23005321440 is a wasteful number, since it uses less digits than its factorization.

23005321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192 (or 15184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 23005321440 its reverse (4412350032), we get a palindrome (27417671472).

The spelling of 23005321440 in words is "twenty-three billion, five million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4483 8966 10691 13449 17932 21382 22415 26898 32073 35864 42764 44830 53455 53796 64146 67245 71728 85528 89660 106910 107592 128292 134490 143456 160365 171056 179320 213820 215184 256584 268980 320730 342112 358640 427640 430368 513168 537960 641460 717280 855280 1026336 1075920 1282920 1710560 2151840 2565840 5131680 47927753 95855506 143783259 191711012 239638765 287566518 383422024 479277530 575133036 718916295 766844048 958555060 1150266072 1437832590 1533688096 1917110120 2300532144 2875665180 3834220240 4601064288 5751330360 7668440480 11502660720 23005321440