Search a number
-
+
2244524520000 = 2635472672053
BaseRepresentation
bin100000101010011000000…
…101100011001001000000
321221120111202212111120210
4200222120011203021000
5243233241234120000
64435041554034120
7321106260426210
oct40523005431100
97846452774523
102244524520000
11795996638954
12303006878940
13133872116169
147a8c7dcc240
153d5ba26c350
hex20a98163240

2244524520000 has 280 divisors, whose sum is σ = 8481056643136. Its totient is φ = 513033984000.

The previous prime is 2244524519969. The next prime is 2244524520019. The reversal of 2244524520000 is 254254422.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2244524520000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 496027 + ... + 2176026.

Almost surely, 22244524520000 is an apocalyptic number.

2244524520000 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 2244524520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240528321568).

2244524520000 is an abundant number, since it is smaller than the sum of its proper divisors (6236532123136).

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

2244524520000 is an equidigital number, since it uses as much as digits as its factorization.

2244524520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672095 (or 2672070 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 2244524520000 its reverse (254254422), we get a palindrome (2244778774422).

The spelling of 2244524520000 in words is "two trillion, two hundred forty-four billion, five hundred twenty-four million, five hundred twenty thousand".