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2032021220 = 2251716013733
BaseRepresentation
bin111100100011110…
…0010111011100100
312020121121101002012
41321013202323210
513130144134340
6533345133352
7101232616055
oct17107427344
95217541065
102032021220
11953028689
1248862a258
13264ca9328
14153c3272c
15bd5da565
hex791e2ee4

2032021220 has 48 divisors (see below), whose sum is σ = 4522292208. Its totient is φ = 764313600.

The previous prime is 2032021217. The next prime is 2032021223. The reversal of 2032021220 is 221202302.

It is an interprime number because it is at equal distance from previous prime (2032021217) and next prime (2032021223).

It can be written as a sum of positive squares in 8 ways, for example, as 414855424 + 1617165796 = 20368^2 + 40214^2 .

It is a super-2 number, since 2×20320212202 = 8258220477060576800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2032021195 and 2032021204.

It is not an unprimeable number, because it can be changed into a prime (2032021223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542474 + ... + 546206.

It is an arithmetic number, because the mean of its divisors is an integer number (94214421).

Almost surely, 22032021220 is an apocalyptic number.

2032021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032021220 is an abundant number, since it is smaller than the sum of its proper divisors (2490270988).

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

2032021220 is a wasteful number, since it uses less digits than its factorization.

2032021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2032021220 is about 45077.9460490382. The cubic root of 2032021220 is about 1266.6095152730.

Adding to 2032021220 its reverse (221202302), we get a palindrome (2253223522).

The spelling of 2032021220 in words is "two billion, thirty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1601 3202 3733 6404 7466 8005 14932 16010 18665 27217 32020 37330 54434 63461 74660 108868 126922 136085 253844 272170 317305 544340 634610 1269220 5976533 11953066 23906132 29882665 59765330 101601061 119530660 203202122 406404244 508005305 1016010610 2032021220