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2033131420 = 2252910334033
BaseRepresentation
bin111100100101111…
…0001111110011100
312020200200202222201
41321023301332130
513130440201140
6533425021244
7101245221565
oct17113617634
95220622881
102033131420
11953716801
12488a84824
132652a7758
1415404116c
15bd75949a
hex792f1f9c

2033131420 has 48 divisors (see below), whose sum is σ = 4459815360. Its totient is φ = 777563136.

The previous prime is 2033131417. The next prime is 2033131427. The reversal of 2033131420 is 241313302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033131427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42724 + ... + 76756.

It is an arithmetic number, because the mean of its divisors is an integer number (92912820).

Almost surely, 22033131420 is an apocalyptic number.

2033131420 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 2033131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229907680).

2033131420 is an abundant number, since it is smaller than the sum of its proper divisors (2426683940).

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

2033131420 is a wasteful number, since it uses less digits than its factorization.

2033131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34174 (or 34172 counting only the distinct ones).

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

The square root of 2033131420 is about 45090.2585931817. The cubic root of 2033131420 is about 1266.8401450611.

Adding to 2033131420 its reverse (241313302), we get a palindrome (2274444722).

The spelling of 2033131420 in words is "two billion, thirty-three million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 103 116 145 206 290 412 515 580 1030 2060 2987 5974 11948 14935 29870 34033 59740 68066 136132 170165 340330 680660 986957 1973914 3505399 3947828 4934785 7010798 9869570 14021596 17526995 19739140 35053990 70107980 101656571 203313142 406626284 508282855 1016565710 2033131420