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2032113220 = 225293577601
BaseRepresentation
bin111100100011111…
…1001011001000100
312020121210001021121
41321013321121010
513130210110340
6533351123324
7101233451224
oct17107713104
95217701247
102032113220
11953090815
12488673544
1326500c177
14153c58084
15bd60794a
hex791f9644

2032113220 has 48 divisors (see below), whose sum is σ = 4296560688. Its totient is φ = 807321600.

The previous prime is 2032113211. The next prime is 2032113229. The reversal of 2032113220 is 223112302.

It is an interprime number because it is at equal distance from previous prime (2032113211) and next prime (2032113229).

It can be written as a sum of positive squares in 8 ways, for example, as 930006016 + 1102107204 = 30496^2 + 33198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2032113194 and 2032113203.

It is not an unprimeable number, because it can be changed into a prime (2032113229) 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, 3380920 + ... + 3381520.

It is an arithmetic number, because the mean of its divisors is an integer number (89511681).

Almost surely, 22032113220 is an apocalyptic number.

2032113220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032113220 is an abundant number, since it is smaller than the sum of its proper divisors (2264447468).

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

2032113220 is a wasteful number, since it uses less digits than its factorization.

2032113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2032113220 is about 45078.9664921458. The cubic root of 2032113220 is about 1266.6286302829.

Adding to 2032113220 its reverse (223112302), we get a palindrome (2255225522).

The spelling of 2032113220 in words is "two billion, thirty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 293 577 586 601 1154 1172 1202 1465 2308 2404 2885 2930 3005 5770 5860 6010 11540 12020 169061 176093 338122 346777 352186 676244 693554 704372 845305 880465 1387108 1690610 1733885 1760930 3381220 3467770 3521860 6935540 101605661 203211322 406422644 508028305 1016056610 2032113220