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2032220240 = 245192946103
BaseRepresentation
bin111100100100001…
…0011100001010000
312020121222111002022
41321020103201100
513130222021430
6533353311012
7101234405231
oct17110234120
95217874068
102032220240
11953154166
12488705468
13265048aab
14153c85088
15bd6294e5
hex79213850

2032220240 has 80 divisors (see below), whose sum is σ = 5145206400. Its totient is φ = 743533056.

The previous prime is 2032220213. The next prime is 2032220243. The reversal of 2032220240 is 420222302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032220243) 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, 21029 + ... + 67131.

It is an arithmetic number, because the mean of its divisors is an integer number (64315080).

Almost surely, 22032220240 is an apocalyptic number.

2032220240 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 2032220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572603200).

2032220240 is an abundant number, since it is smaller than the sum of its proper divisors (3112986160).

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

2032220240 is a wasteful number, since it uses less digits than its factorization.

2032220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46164 (or 46158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2032220240 is about 45080.1535046189. The cubic root of 2032220240 is about 1266.6508653000.

Adding to 2032220240 its reverse (420222302), we get a palindrome (2452442542).

The spelling of 2032220240 in words is "two billion, thirty-two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 4408 5510 8816 11020 22040 44080 46103 92206 184412 230515 368824 461030 737648 875957 922060 1336987 1751914 1844120 2673974 3503828 3688240 4379785 5347948 6684935 7007656 8759570 10695896 13369870 14015312 17519140 21391792 25402753 26739740 35038280 50805506 53479480 70076560 101611012 106958960 127013765 203222024 254027530 406444048 508055060 1016110120 2032220240