Search a number
-
+
32213220023440 = 245809497732077
BaseRepresentation
bin1110101001100001110011…
…00010010101110010010000
311020001112221200122001211101
413110300321202111302100
513210240133311222230
6152302314325154144
76533220423240541
oct724607142256220
9136045850561741
1032213220023440
11a29a6059a7345
12374317a25b954
1314c8902b3c761
147d51b199c4c8
153ace16b3eaca
hex1d4c39895c90

32213220023440 has 40 divisors (see below), whose sum is σ = 74988314871480. Its totient is φ = 12869360557056.

The previous prime is 32213220023429. The next prime is 32213220023443. The reversal of 32213220023440 is 4432002231223.

It can be written as a sum of positive squares in 4 ways, for example, as 2982155979664 + 29231064043776 = 1726892^2 + 5406576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 32213220023399 and 32213220023408.

It is not an unprimeable number, because it can be changed into a prime (32213220023443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248801319 + ... + 248930758.

It is an arithmetic number, because the mean of its divisors is an integer number (1874707871787).

Almost surely, 232213220023440 is an apocalyptic number.

It is an amenable number.

32213220023440 is an abundant number, since it is smaller than the sum of its proper divisors (42775094848040).

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

32213220023440 is a wasteful number, since it uses less digits than its factorization.

32213220023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497732899 (or 497732893 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 32213220023440 its reverse (4432002231223), we get a palindrome (36645222254663).

The spelling of 32213220023440 in words is "thirty-two trillion, two hundred thirteen billion, two hundred twenty million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 809 1618 3236 4045 6472 8090 12944 16180 32360 64720 497732077 995464154 1990928308 2488660385 3981856616 4977320770 7963713232 9954641540 19909283080 39818566160 402665250293 805330500586 1610661001172 2013326251465 3221322002344 4026652502930 6442644004688 8053305005860 16106610011720 32213220023440