Search a number
-
+
2241235245504 = 26311673100237
BaseRepresentation
bin100000100111010100000…
…001111101100111000000
321221021000112112001020110
4200213110001331213000
5243210022210324004
64433335333311320
7320631620154513
oct40472401754700
97837015461213
102241235245504
1179455895a282
12302449195540
1313346981a9a8
147a695204d7a
153d4765d7589
hex209d407d9c0

2241235245504 has 28 divisors (see below), whose sum is σ = 5929934920904. Its totient is φ = 747078415104.

The previous prime is 2241235245503. The next prime is 2241235245523. The reversal of 2241235245504 is 4055425321422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241235245503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5836549927 + ... + 5836550310.

Almost surely, 22241235245504 is an apocalyptic number.

2241235245504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2241235245504 is an abundant number, since it is smaller than the sum of its proper divisors (3688699675400).

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

2241235245504 is a wasteful number, since it uses less digits than its factorization.

2241235245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11673100252 (or 11673100242 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 2241235245504 in words is "two trillion, two hundred forty-one billion, two hundred thirty-five million, two hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11673100237 23346200474 35019300711 46692400948 70038601422 93384801896 140077202844 186769603792 280154405688 373539207584 560308811376 747078415168 1120617622752 2241235245504