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2234540183040 = 29345112293783
BaseRepresentation
bin100000100001000100111…
…110010100111000000000
321220121201221120122010000
4200201010332110320000
5243102314241324130
64430311131040000
7320303663111124
oct40410476247000
97817657518100
102234540183040
11791732751800
1230109aba0000
13132940751079
147a21bd85584
153d1d3955260
hex20844f94e00

2234540183040 has 2400 divisors, whose sum is σ = 9459061143840. Its totient is φ = 502760079360.

The previous prime is 2234540183027. The next prime is 2234540183053. The reversal of 2234540183040 is 403810454322.

2234540183040 is a `hidden beast` number, since 2 + 2 + 34 + 540 + 1 + 83 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2234540183027) and next prime (2234540183053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2234540182986 and 2234540183004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26922170839 + ... + 26922170921.

Almost surely, 22234540183040 is an apocalyptic number.

2234540183040 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 2234540183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729530571920).

2234540183040 is an abundant number, since it is smaller than the sum of its proper divisors (7224520960800).

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

2234540183040 is a wasteful number, since it uses less digits than its factorization.

2234540183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2234540183040 in words is "two trillion, two hundred thirty-four billion, five hundred forty million, one hundred eighty-three thousand, forty".