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2033145520 = 245710733931
BaseRepresentation
bin111100100101111…
…0101011010110000
312020200201111022221
41321023311122300
513130441124040
6533425210424
7101245310650
oct17113653260
95220644287
102033145520
1195372635a
12488a90a14
132652b0cb3
14154046360
15bd75d74a
hex792f56b0

2033145520 has 80 divisors (see below), whose sum is σ = 5453008128. Its totient is φ = 690543360.

The previous prime is 2033145503. The next prime is 2033145533. The reversal of 2033145520 is 255413302.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42955 + ... + 76885.

Almost surely, 22033145520 is an apocalyptic number.

2033145520 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 2033145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726504064).

2033145520 is an abundant number, since it is smaller than the sum of its proper divisors (3419862608).

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

2033145520 is a wasteful number, since it uses less digits than its factorization.

2033145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34058 (or 34052 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2033145520 is about 45090.4149459727. The cubic root of 2033145520 is about 1266.8430736150.

Adding to 2033145520 its reverse (255413302), we get a palindrome (2288558822).

The spelling of 2033145520 in words is "two billion, thirty-three million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 535 560 749 856 1070 1498 1712 2140 2996 3745 4280 5992 7490 8560 11984 14980 29960 33931 59920 67862 135724 169655 237517 271448 339310 475034 542896 678620 950068 1187585 1357240 1900136 2375170 2714480 3630617 3800272 4750340 7261234 9500680 14522468 18153085 19001360 25414319 29044936 36306170 50828638 58089872 72612340 101657276 127071595 145224680 203314552 254143190 290449360 406629104 508286380 1016572760 2033145520