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2234324310240 = 253511372309107
BaseRepresentation
bin100000100000111000000…
…110110101100011100000
321220121011220101011022010
4200200320012311203200
5243101344010411430
64430233500112520
7320265432164301
oct40407006654340
97817156334263
102234324310240
11791631908330
1230103a835740
13132907aca099
147a1db4307a8
153d1bea12cb0
hex208381b58e0

2234324310240 has 288 divisors, whose sum is σ = 7891096961664. Its totient is φ = 527013365760.

The previous prime is 2234324310187. The next prime is 2234324310263. The reversal of 2234324310240 is 420134234322.

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

It is a junction number, because it is equal to n+sod(n) for n = 2234324310198 and 2234324310207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7073767 + ... + 7382873.

It is an arithmetic number, because the mean of its divisors is an integer number (27399642228).

Almost surely, 22234324310240 is an apocalyptic number.

2234324310240 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 2234324310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945548480832).

2234324310240 is an abundant number, since it is smaller than the sum of its proper divisors (5656772651424).

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

2234324310240 is a wasteful number, since it uses less digits than its factorization.

2234324310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309210 (or 309165 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2234324310240 its reverse (420134234322), we get a palindrome (2654458544562).

The spelling of 2234324310240 in words is "two trillion, two hundred thirty-four billion, three hundred twenty-four million, three hundred ten thousand, two hundred forty".