Search a number
-
+
2242444710660 = 22357111879258317
BaseRepresentation
bin100000101000011100000…
…111101101001100000100
321221101010211100020112020
4200220130013231030010
5243220011321220120
64434055340323140
7321003604354140
oct40503407551404
97841124306466
102242444710660
11795019640360
123027262434b0
1313360027744b
147a76baba220
153d4e7892640
hex20a1c1ed304

2242444710660 has 192 divisors, whose sum is σ = 7832367083520. Its totient is φ = 465712750080.

The previous prime is 2242444710617. The next prime is 2242444710661. The reversal of 2242444710660 is 660174442422.

It is a super-2 number, since 2×22424447106602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2242444710661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8551822 + ... + 8810138.

It is an arithmetic number, because the mean of its divisors is an integer number (40793578560).

Almost surely, 22242444710660 is an apocalyptic number.

2242444710660 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 2242444710660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916183541760).

2242444710660 is an abundant number, since it is smaller than the sum of its proper divisors (5589922372860).

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

2242444710660 is a wasteful number, since it uses less digits than its factorization.

2242444710660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260226 (or 260224 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 2242444710660 in words is "two trillion, two hundred forty-two billion, four hundred forty-four million, seven hundred ten thousand, six hundred sixty".