Search a number
-
+
2298152156040 = 233551326096971
BaseRepresentation
bin100001011100010100100…
…010101111101110001000
322010200221011201200100000
4201130110202233232020
5300123103422443130
64515431224243000
7325015232005266
oct41342442575610
98120834650300
102298152156040
11806705a85614
12311492610460
1313893a5c0c90
147d334423436
153eba8332260
hex217148afb88

2298152156040 has 384 divisors, whose sum is σ = 8345835388800. Its totient is φ = 565401047040.

The previous prime is 2298152156039. The next prime is 2298152156063. The reversal of 2298152156040 is 406512518922.

2298152156040 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 15 + 21 + 5 + 604 + 0 = 666.

It is a super-2 number, since 2×22981521560402 (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 329669755 + ... + 329676725.

It is an arithmetic number, because the mean of its divisors is an integer number (21733946325).

Almost surely, 22298152156040 is an apocalyptic number.

2298152156040 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 2298152156040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172917694400).

2298152156040 is an abundant number, since it is smaller than the sum of its proper divisors (6047683232760).

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

2298152156040 is a wasteful number, since it uses less digits than its factorization.

2298152156040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9619 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2298152156040 in words is "two trillion, two hundred ninety-eight billion, one hundred fifty-two million, one hundred fifty-six thousand, forty".