Search a number
-
+
2223061711968 = 25331746996543
BaseRepresentation
bin100000010110011000110…
…011011011110001100000
321212112002222210212221210
4200112120303123301200
5242410312244240333
64421132131350120
7316416353525646
oct40263063336140
97775088725853
102223061711968
11787882421579
122baa16a52340
1313183166b956
147984d725196
153cc60da1a63
hex20598cdbc60

2223061711968 has 48 divisors (see below), whose sum is σ = 6023780130816. Its totient is φ = 717116680320.

The previous prime is 2223061711961. The next prime is 2223061712021. The reversal of 2223061711968 is 8691171603222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223061711961) 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, 373495296 + ... + 373501247.

It is an arithmetic number, because the mean of its divisors is an integer number (125495419392).

Almost surely, 22223061711968 is an apocalyptic number.

It is an amenable number.

2223061711968 is an abundant number, since it is smaller than the sum of its proper divisors (3800718418848).

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

2223061711968 is a wasteful number, since it uses less digits than its factorization.

2223061711968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746996587 (or 746996579 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 2223061711968 in words is "two trillion, two hundred twenty-three billion, sixty-one million, seven hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 746996543 1493993086 2240989629 2987986172 4481979258 5975972344 8963958516 11951944688 17927917032 23156892833 23903889376 35855834064 46313785666 69470678499 71711668128 92627571332 138941356998 185255142664 277882713996 370510285328 555765427992 741020570656 1111530855984 2223061711968