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2032153220 = 2253713120963
BaseRepresentation
bin111100100100000…
…0011001010000100
312020121212002011002
41321020003022010
513130212400340
6533352032432
7101234005646
oct17110031204
95217762132
102032153220
11953108879
12488692718
13265024436
14153c68896
15bd614715
hex79203284

2032153220 has 48 divisors (see below), whose sum is σ = 4416527808. Its totient is φ = 784817280.

The previous prime is 2032153217. The next prime is 2032153223. The reversal of 2032153220 is 223512302.

It is an interprime number because it is at equal distance from previous prime (2032153217) and next prime (2032153223).

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

It is a junction number, because it is equal to n+sod(n) for n = 2032153192 and 2032153201.

It is not an unprimeable number, because it can be changed into a prime (2032153223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86459 + ... + 107421.

It is an arithmetic number, because the mean of its divisors is an integer number (92010996).

Almost surely, 22032153220 is an apocalyptic number.

2032153220 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 2032153220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208263904).

2032153220 is an abundant number, since it is smaller than the sum of its proper divisors (2384374588).

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

2032153220 is a wasteful number, since it uses less digits than its factorization.

2032153220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21140 (or 21138 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2032153220 is about 45079.4101558572. The cubic root of 2032153220 is about 1266.6369409768.

Adding to 2032153220 its reverse (223512302), we get a palindrome (2255665522).

The spelling of 2032153220 in words is "two billion, thirty-two million, one hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 131 148 185 262 370 524 655 740 1310 2620 4847 9694 19388 20963 24235 41926 48470 83852 96940 104815 209630 419260 775631 1551262 2746153 3102524 3878155 5492306 7756310 10984612 13730765 15512620 27461530 54923060 101607661 203215322 406430644 508038305 1016076610 2032153220