Search a number
-
+
2243443926600 = 23345217292571093
BaseRepresentation
bin100000101001010111101…
…011011010011001001000
321221110201110112200010000
4200221113223122121020
5243224033121122400
64434342433123000
7321040426511142
oct40512753323110
97843643480100
102243443926600
11795491679058
123029649b9460
1313372c29b796
147a8246a1c92
153d55546b600
hex20a57ada648

2243443926600 has 960 divisors, whose sum is σ = 8575690741200. Its totient is φ = 541033758720.

The previous prime is 2243443926589. The next prime is 2243443926611. The reversal of 2243443926600 is 66293443422.

2243443926600 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 4 + 4 + 39 + 2 + 6 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2243443926589) and next prime (2243443926611).

It can be written as a sum of positive squares in 24 ways, for example, as 888031061316 + 1355412865284 = 942354^2 + 1164222^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2052555654 + ... + 2052556746.

Almost surely, 22243443926600 is an apocalyptic number.

2243443926600 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 2243443926600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287845370600).

2243443926600 is an abundant number, since it is smaller than the sum of its proper divisors (6332246814600).

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

2243443926600 is a wasteful number, since it uses less digits than its factorization.

2243443926600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 2243443926600 in words is "two trillion, two hundred forty-three billion, four hundred forty-three million, nine hundred twenty-six thousand, six hundred".