Search a number
-
+
2300154152310 = 2335717149480463
BaseRepresentation
bin100001011110001011110…
…111110000010101110110
322010220002200211121221000
4201132023313300111312
5300141203430333220
64520402022104130
7325115651463150
oct41361367602566
98126080747830
102300154152310
11807543065a93
12311950b7b046
13138b992b6b61
147d48427bad0
153ec73e8b390
hex2178bdf0576

2300154152310 has 256 divisors, whose sum is σ = 7472176128000. Its totient is φ = 491501094912.

The previous prime is 2300154152287. The next prime is 2300154152363. The reversal of 2300154152310 is 132514510032.

2300154152310 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 15 + 415 + 231 + 0 = 666.

It is a super-2 number, since 2×23001541523102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4547139 + ... + 5027601.

It is an arithmetic number, because the mean of its divisors is an integer number (29188188000).

Almost surely, 22300154152310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300154152310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736088064000).

2300154152310 is an abundant number, since it is smaller than the sum of its proper divisors (5172021975690).

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

2300154152310 is a wasteful number, since it uses less digits than its factorization.

2300154152310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480652 (or 480646 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 2300154152310 its reverse (132514510032), we get a palindrome (2432668662342).

The spelling of 2300154152310 in words is "two trillion, three hundred billion, one hundred fifty-four million, one hundred fifty-two thousand, three hundred ten".