Search a number
-
+
224601256666740 = 223573106965637309
BaseRepresentation
bin110011000100011000001110…
…000111101010011001110100
31002110020200002202021121100010
4303010120032013222121310
5213414331333201313430
62113404220510420220
765210622342601152
oct6304301607523164
91073220082247303
10224601256666740
11656239490558a8
122123528a501670
139842a66470a15
143d66a8a3063d2
151ae75da22dcb0
hexcc460e1ea674

224601256666740 has 192 divisors, whose sum is σ = 638279253561600. Its totient is φ = 59000880992256.

The previous prime is 224601256666739. The next prime is 224601256666751. The reversal of 224601256666740 is 47666652106422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30729406206 + ... + 30729413514.

It is an arithmetic number, because the mean of its divisors is an integer number (3324371112300).

Almost surely, 2224601256666740 is an apocalyptic number.

224601256666740 is a gapful number since it is divisible by the number (20) 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 224601256666740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319139626780800).

224601256666740 is an abundant number, since it is smaller than the sum of its proper divisors (413677996894860).

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

224601256666740 is a wasteful number, since it uses less digits than its factorization.

224601256666740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15026 (or 15024 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 224601256666740 in words is "two hundred twenty-four trillion, six hundred one billion, two hundred fifty-six million, six hundred sixty-six thousand, seven hundred forty".