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2033024240 = 245131979923
BaseRepresentation
bin111100100101101…
…0111110011110000
312020200111022222002
41321023113303300
513130423233430
6533422433132
7101244264242
oct17113276360
95220438862
102033024240
11953653225
12488a327a8
1326526aa30
14154014092
15bd737845
hex792d7cf0

2033024240 has 80 divisors (see below), whose sum is σ = 5116735008. Its totient is φ = 746769408.

The previous prime is 2033024221. The next prime is 2033024251. The reversal of 2033024240 is 424203302.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199919 + ... + 209841.

Almost surely, 22033024240 is an apocalyptic number.

2033024240 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 2033024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558367504).

2033024240 is an abundant number, since it is smaller than the sum of its proper divisors (3083710768).

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

2033024240 is a wasteful number, since it uses less digits than its factorization.

2033024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2033024240 is about 45089.0700724688. The cubic root of 2033024240 is about 1266.8178834549.

Adding to 2033024240 its reverse (424203302), we get a palindrome (2457227542).

The spelling of 2033024240 in words is "two billion, thirty-three million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 197 208 260 394 520 788 985 1040 1576 1970 2561 3152 3940 5122 7880 9923 10244 12805 15760 19846 20488 25610 39692 40976 49615 51220 79384 99230 102440 128999 158768 198460 204880 257998 396920 515996 644995 793840 1031992 1289990 1954831 2063984 2579980 3909662 5159960 7819324 9774155 10319920 15638648 19548310 25412803 31277296 39096620 50825606 78193240 101651212 127064015 156386480 203302424 254128030 406604848 508256060 1016512120 2033024240