Search a number
-
+
2241706326000 = 243531724191193
BaseRepresentation
bin100000100111110000000…
…110111111011111110000
321221022020100221102012020
4200213300012333133300
5243212003304413000
64433454202231440
7320646400243161
oct40476006773760
97838210842166
102241706326000
1179477a863aa9
1230255aab5580
131335132b884b
147a6db9cd768
153d4a2b3bba0
hex209f01bf7f0

2241706326000 has 320 divisors, whose sum is σ = 7684231142016. Its totient is φ = 560283648000.

The previous prime is 2241706325981. The next prime is 2241706326001. The reversal of 2241706326000 is 6236071422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241706326001) 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, 24536404 + ... + 24627596.

Almost surely, 22241706326000 is an apocalyptic number.

2241706326000 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 2241706326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842115571008).

2241706326000 is an abundant number, since it is smaller than the sum of its proper divisors (5442524816016).

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

2241706326000 is a wasteful number, since it uses less digits than its factorization.

2241706326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91477 (or 91461 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 2241706326000 in words is "two trillion, two hundred forty-one billion, seven hundred six million, three hundred twenty-six thousand".