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2033132140 = 2251325730427
BaseRepresentation
bin111100100101111…
…0010001001101100
312020200200210222101
41321023302021230
513130440212030
6533425024444
7101245223644
oct17113621154
95220623871
102033132140
119537172a6
12488a85124
132652a7b90
14154041524
15bd7597ca
hex792f226c

2033132140 has 48 divisors (see below), whose sum is σ = 4616049312. Its totient is φ = 747749376.

The previous prime is 2033132113. The next prime is 2033132147. The reversal of 2033132140 is 412313302.

It is not an unprimeable number, because it can be changed into a prime (2033132147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51607 + ... + 82033.

It is an arithmetic number, because the mean of its divisors is an integer number (96167694).

Almost surely, 22033132140 is an apocalyptic number.

2033132140 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 2033132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308024656).

2033132140 is an abundant number, since it is smaller than the sum of its proper divisors (2582917172).

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

2033132140 is a wasteful number, since it uses less digits than its factorization.

2033132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30706 (or 30704 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2033132140 is about 45090.2665771672. The cubic root of 2033132140 is about 1266.8402946046.

Adding to 2033132140 its reverse (412313302), we get a palindrome (2445445442).

The spelling of 2033132140 in words is "two billion, thirty-three million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 514 1028 1285 2570 3341 5140 6682 13364 16705 30427 33410 60854 66820 121708 152135 304270 395551 608540 791102 1582204 1977755 3955510 7819739 7911020 15639478 31278956 39098695 78197390 101656607 156394780 203313214 406626428 508283035 1016566070 2033132140