Search a number
-
+
20132230144 = 210131725233
BaseRepresentation
bin10010101111111110…
…010111010000000000
31220222001100020220111
4102233332113100000
5312212322331034
613125411321104
71311616063345
oct225776272000
956861306814
1020132230144
1185a1134534
123a9a2b0194
131b8abc4520
14d8daa67cc
157cc68a364
hex4aff97400

20132230144 has 132 divisors (see below), whose sum is σ = 46048763404. Its totient is φ = 8743550976.

The previous prime is 20132230109. The next prime is 20132230169. The reversal of 20132230144 is 44103223102.

It can be written as a sum of positive squares in 6 ways, for example, as 2994278400 + 17137951744 = 54720^2 + 130912^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3844552 + ... + 3849784.

Almost surely, 220132230144 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 20132230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23024381702).

20132230144 is an abundant number, since it is smaller than the sum of its proper divisors (25916533260).

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

20132230144 is a wasteful number, since it uses less digits than its factorization.

20132230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20132230144 its reverse (44103223102), we get a palindrome (64235453246).

The spelling of 20132230144 in words is "twenty billion, one hundred thirty-two million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 289 416 442 512 544 578 832 884 1024 1088 1156 1664 1768 2176 2312 3328 3536 3757 4352 4624 5233 6656 7072 7514 8704 9248 10466 13312 14144 15028 17408 18496 20932 28288 30056 36992 41864 56576 60112 68029 73984 83728 88961 113152 120224 136058 147968 167456 177922 226304 240448 272116 295936 334912 355844 480896 544232 669824 711688 961792 1088464 1156493 1339648 1423376 1512337 1923584 2176928 2312986 2679296 2846752 3024674 3847168 4353856 4625972 5358592 5693504 6049348 8707712 9251944 11387008 12098696 17415424 18503888 19660381 22774016 24197392 34830848 37007776 39320762 45548032 48394784 69661696 74015552 78641524 91096064 96789568 148031104 157283048 193579136 296062208 314566096 387158272 592124416 629132192 774316544 1184248832 1258264384 1548633088 2516528768 5033057536 10066115072 20132230144