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2032200320 = 2753175313
BaseRepresentation
bin111100100100000…
…1110101010000000
312020121221110202112
41321020032222000
513130220402240
6533353034452
7101234263163
oct17110165200
95217843675
102032200320
119531401a7
124886b5a28
1326503c9c7
14153c7bada
15bd623665
hex7920ea80

2032200320 has 32 divisors (see below), whose sum is σ = 4858230420. Its totient is φ = 812879872.

The previous prime is 2032200311. The next prime is 2032200329. The reversal of 2032200320 is 230022302.

It is an interprime number because it is at equal distance from previous prime (2032200311) and next prime (2032200329).

It can be written as a sum of positive squares in 2 ways, for example, as 1813397056 + 218803264 = 42584^2 + 14792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2032200295 and 2032200304.

It is not an unprimeable number, because it can be changed into a prime (2032200329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1587017 + ... + 1588296.

Almost surely, 22032200320 is an apocalyptic number.

2032200320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032200320 is an abundant number, since it is smaller than the sum of its proper divisors (2826030100).

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

2032200320 is an equidigital number, since it uses as much as digits as its factorization.

2032200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175332 (or 3175320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2032200320 is about 45079.9325642796. The cubic root of 2032200320 is about 1266.6467266790.

Adding to 2032200320 its reverse (230022302), we get a palindrome (2262222622).

The spelling of 2032200320 in words is "two billion, thirty-two million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3175313 6350626 12701252 15876565 25402504 31753130 50805008 63506260 101610016 127012520 203220032 254025040 406440064 508050080 1016100160 2032200320