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2330153540 = 225111319137313
BaseRepresentation
bin1000101011100011…
…0101001001000100
320000101121001201222
42022320311021010
514233004403130
61023115135512
7111512656361
oct21270651104
96011531658
102330153540
11a96346930
12550444598
132b19a1ca0
1418167b468
15d987ace5
hex8ae35244

2330153540 has 192 divisors, whose sum is σ = 6115011840. Its totient is φ = 733224960.

The previous prime is 2330153489. The next prime is 2330153549. The reversal of 2330153540 is 453510332.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2330153549) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7444424 + ... + 7444736.

It is an arithmetic number, because the mean of its divisors is an integer number (31849020).

Almost surely, 22330153540 is an apocalyptic number.

2330153540 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 2330153540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057505920).

2330153540 is an abundant number, since it is smaller than the sum of its proper divisors (3784858300).

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

2330153540 is a wasteful number, since it uses less digits than its factorization.

2330153540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 2330153540 is about 48271.6639448031. The cubic root of 2330153540 is about 1325.7496249440.

Adding to 2330153540 its reverse (453510332), we get a palindrome (2783663872).

The spelling of 2330153540 in words is "two billion, three hundred thirty million, one hundred fifty-three thousand, five hundred forty".