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2331053504 = 261321271697
BaseRepresentation
bin1000101011110001…
…0000110111000000
320000110021210020222
42022330100313000
514233222203004
61023150322212
7111523425233
oct21274206700
96013253228
102331053504
11a96900aaa
125507b9368
132b1c28800
1418183341a
15d99a77be
hex8af10dc0

2331053504 has 84 divisors (see below), whose sum is σ = 5051291904. Its totient is φ = 1066770432.

The previous prime is 2331053471. The next prime is 2331053507. The reversal of 2331053504 is 4053501332.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331053507) 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 11 ways as a sum of consecutive naturals, for example, 1372784 + ... + 1374480.

Almost surely, 22331053504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525645952).

2331053504 is an abundant number, since it is smaller than the sum of its proper divisors (2720238400).

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

2331053504 is a wasteful number, since it uses less digits than its factorization.

2331053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1839 counting only the distinct ones).

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

The square root of 2331053504 is about 48280.9849112464. The cubic root of 2331053504 is about 1325.9202822766.

Adding to 2331053504 its reverse (4053501332), we get a palindrome (6384554836).

The spelling of 2331053504 in words is "two billion, three hundred thirty-one million, fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 169 208 254 338 416 508 676 832 1016 1352 1651 1697 2032 2704 3302 3394 4064 5408 6604 6788 8128 10816 13208 13576 21463 22061 26416 27152 42926 44122 52832 54304 85852 88244 105664 108608 171704 176488 215519 286793 343408 352976 431038 573586 686816 705952 862076 1147172 1373632 1411904 1724152 2294344 2801747 3448304 4588688 5603494 6896608 9177376 11206988 13793216 18354752 22413976 36422711 44827952 72845422 89655904 145690844 179311808 291381688 582763376 1165526752 2331053504