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2021851225 = 52172234
BaseRepresentation
bin111100010000011…
…0000000001011001
312012220110200110201
41320200300001121
513120043214400
6532343142201
7101050310662
oct17040600131
95186420421
102021851225
11948311829
12485144961
13262b58294
14152746369
15bc77c06a
hex78830059

2021851225 has 45 divisors (see below), whose sum is σ = 2784303037. Its totient is φ = 1456146560.

The previous prime is 2021851213. The next prime is 2021851231. The reversal of 2021851225 is 5221581202.

The square root of 2021851225 is 44965.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47293129 + 1974558096 = 6877^2 + 44436^2 .

It is not a de Polignac number, because 2021851225 - 211 = 2021849177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2021851193 and 2021851202.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 87906564 + ... + 87906586.

Almost surely, 22021851225 is an apocalyptic number.

2021851225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2021851225 is the 44965-th square number.

2021851225 is the 22483-rd centered octagonal number.

It is an amenable number.

2021851225 is a deficient number, since it is larger than the sum of its proper divisors (762451812).

2021851225 is an frugal number, since it uses more digits than its factorization.

2021851225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The cubic root of 2021851225 is about 1264.4929097016.

The spelling of 2021851225 in words is "two billion, twenty-one million, eight hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 17 23 25 85 115 289 391 425 529 575 1445 1955 2645 6647 7225 8993 9775 12167 13225 33235 44965 60835 152881 166175 206839 224825 279841 304175 764405 1034195 1399205 3516263 3822025 4757297 5170975 6996025 17581315 23786485 80874049 87906575 118932425 404370245 2021851225