Search a number
-
+
232541040224224 = 25172962172370947
BaseRepresentation
bin110100110111111010101110…
…000110010010011111100000
31010111100201001220210210010201
4310313322232012102133200
5220434423022244133344
62142323513515234544
766660351520364104
oct6467725606223740
91114321056723121
10232541040224224
1168105112968566
12220b8017a48a54
139c9a6ab8145b4
14415d09146d904
151bd3dd593a4d4
hexd37eae1927e0

232541040224224 has 96 divisors (see below), whose sum is σ = 501541709669280. Its totient is φ = 105640552808448.

The previous prime is 232541040224191. The next prime is 232541040224239. The reversal of 232541040224224 is 422422040145232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96893919 + ... + 99264865.

It is an arithmetic number, because the mean of its divisors is an integer number (5224392809055).

Almost surely, 2232541040224224 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 232541040224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250770854834640).

232541040224224 is an abundant number, since it is smaller than the sum of its proper divisors (269000669445056).

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

232541040224224 is a wasteful number, since it uses less digits than its factorization.

232541040224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377220 (or 2377212 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 232541040224224 its reverse (422422040145232), we get a palindrome (654963080369456).

The spelling of 232541040224224 in words is "two hundred thirty-two trillion, five hundred forty-one billion, forty million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 6217 7888 12434 15776 24868 49736 99472 105689 180293 198944 211378 360586 422756 721172 845512 1442344 1691024 2370947 2884688 3064981 3382048 4741894 5769376 6129962 9483788 12259924 18967576 24519848 37935152 40306099 49039696 68757463 75870304 80612198 98079392 137514926 161224396 275029852 322448792 550059704 644897584 1100119408 1168876871 1289795168 2200238816 2337753742 4675507484 9351014968 14740177499 18702029936 29480354998 37404059872 58960709996 117921419992 235842839984 250583017483 427465147471 471685679968 501166034966 854930294942 1002332069932 1709860589884 2004664139864 3419721179768 4009328279728 6839442359536 7266907507007 8018656559456 13678884719072 14533815014014 29067630028028 58135260056056 116270520112112 232541040224224