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3821094225 = 32521323172
BaseRepresentation
bin1110001111000001…
…0100010101010001
3100212022001200212100
43203300110111101
530311200003400
61431055151013
7163455523254
oct34360242521
910768050770
103821094225
1116909a9713
128a7815469
1348b841900
142836a309b
151756d6100
hexe3c14551

3821094225 has 81 divisors (see below), whose sum is σ = 7434415443. Its totient is φ = 1875219840.

The previous prime is 3821094223. The next prime is 3821094331. The reversal of 3821094225 is 5224901283.

It is a happy number.

The square root of 3821094225 is 61815.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3500970561 + 320123664 = 59169^2 + 17892^2 .

It is not a de Polignac number, because 3821094225 - 21 = 3821094223 is a prime.

It is a super-2 number, since 2×38210942252 = 29201522152656701250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3821094225.

It is not an unprimeable number, because it can be changed into a prime (3821094223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12053767 + ... + 12054083.

Almost surely, 23821094225 is an apocalyptic number.

3821094225 is the 61815-th square number.

3821094225 is the 30908-th centered octagonal number.

It is an amenable number.

3821094225 is a deficient number, since it is larger than the sum of its proper divisors (3613321218).

3821094225 is a wasteful number, since it uses less digits than its factorization.

3821094225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 3821094225 is about 1563.3729104334.

Multiplying 3821094225 by its sum of digits (36), we get a square (137559392100 = 3708902).

The spelling of 3821094225 in words is "three billion, eight hundred twenty-one million, ninety-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 317 325 507 585 845 951 975 1521 1585 2535 2853 2925 4121 4225 4755 7605 7925 12363 12675 14265 20605 23775 37089 38025 53573 61815 71325 100489 103025 160719 185445 267865 301467 309075 482157 502445 803595 904401 927225 1306357 1339325 1507335 2410785 2512225 3919071 4017975 4522005 6531785 7536675 11757213 12053925 16982641 19595355 22610025 32658925 50947923 58786065 84913205 97976775 152843769 254739615 293930325 424566025 764218845 1273698075 3821094225