Search a number
-
+
2422560723968 = 2107113318191
BaseRepresentation
bin100011010000001011110…
…111110001010000000000
322120121001102101202010002
4203100023313301100000
5304142401021131333
65052524203455132
7340011212252360
oct43201367612000
98517042352102
102422560723968
11854447411000
123316128274a8
131475a5c4b108
14853770749a0
154303a3650e8
hex2340bdf1400

2422560723968 has 352 divisors, whose sum is σ = 6284761890816. Its totient is φ = 913296384000.

The previous prime is 2422560723959. The next prime is 2422560724069. The reversal of 2422560723968 is 8693270652242.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×24225607239682 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295754753 + ... + 295762943.

Almost surely, 22422560723968 is an apocalyptic number.

2422560723968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422560723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142380945408).

2422560723968 is an abundant number, since it is smaller than the sum of its proper divisors (3862201166848).

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

2422560723968 is an equidigital number, since it uses as much as digits as its factorization.

2422560723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 2422560723968 in words is "two trillion, four hundred twenty-two billion, five hundred sixty million, seven hundred twenty-three thousand, nine hundred sixty-eight".