Search a number
-
+
53540230224 = 24313219073461
BaseRepresentation
bin110001110111001111…
…110001010001010000
312010012022101111111210
4301313033301101100
51334122244331344
640332424540120
73603530306445
oct616717612120
9163168344453
1053540230224
1120785078458
12a462621640
135083353900
14283c9a19cc
1515d559bdb9
hexc773f1450

53540230224 has 120 divisors (see below), whose sum is σ = 149891915232. Its totient is φ = 16460520960.

The previous prime is 53540230147. The next prime is 53540230241. The reversal of 53540230224 is 42203204535.

53540230224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53540230191 and 53540230200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15467854 + ... + 15471314.

Almost surely, 253540230224 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 53540230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74945957616).

53540230224 is an abundant number, since it is smaller than the sum of its proper divisors (96351685008).

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

53540230224 is a wasteful number, since it uses less digits than its factorization.

53540230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 53540230224 its reverse (42203204535), we get a palindrome (95743434759).

The spelling of 53540230224 in words is "fifty-three billion, five hundred forty million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 1907 2028 2704 3461 3814 4056 5721 6922 7628 8112 10383 11442 13844 15256 20766 22884 24791 27688 30512 41532 44993 45768 49582 55376 74373 83064 89986 91536 99164 134979 148746 166128 179972 198328 269958 297492 322283 359944 396656 539916 584909 594984 644566 719888 966849 1079832 1169818 1189968 1289132 1754727 1933698 2159664 2339636 2578264 3509454 3867396 4679272 5156528 6600127 7018908 7734792 9358544 13200254 14037816 15469584 19800381 26400508 28075632 39600762 52801016 79201524 85801651 105602032 158403048 171603302 257404953 316806096 343206604 514809906 686413208 1029619812 1115421463 1372826416 2059239624 2230842926 3346264389 4118479248 4461685852 6692528778 8923371704 13385057556 17846743408 26770115112 53540230224