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2021221332 = 2232134318849
BaseRepresentation
bin111100001111001…
…0110001111010100
312012212021200102100
41320132112033110
513114413040312
6532321442100
7101042045364
oct17036261724
95185250370
102021221332
11947a21559
12484aa0330
13262997670
141526209a4
15bc6a55dc
hex787963d4

2021221332 has 36 divisors (see below), whose sum is σ = 5502214900. Its totient is φ = 621914112.

The previous prime is 2021221331. The next prime is 2021221373. The reversal of 2021221332 is 2331221202.

It can be written as a sum of positive squares in 2 ways, for example, as 687803076 + 1333418256 = 26226^2 + 36516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021221331) 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 11 ways as a sum of consecutive naturals, for example, 2158957 + ... + 2159892.

Almost surely, 22021221332 is an apocalyptic number.

It is an amenable number.

2021221332 is an abundant number, since it is smaller than the sum of its proper divisors (3480993568).

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

2021221332 is a wasteful number, since it uses less digits than its factorization.

2021221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318872 (or 4318867 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2021221332 is about 44957.9951955156. The cubic root of 2021221332 is about 1264.3615815487.

Adding to 2021221332 its reverse (2331221202), we get a palindrome (4352442534).

The spelling of 2021221332 in words is "two billion, twenty-one million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4318849 8637698 12956547 17275396 25913094 38869641 51826188 56145037 77739282 112290074 155478564 168435111 224580148 336870222 505305333 673740444 1010610666 2021221332