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2213176905625 = 547285012
BaseRepresentation
bin100000001101001011100…
…111111000111110011001
321211120121002210200211011
4200031023213320332121
5242230041241440000
64412415221533521
7315616405206400
oct40151347707631
97746532720734
102213176905625
1178366a736234
122b8b185742a1
131309177b480a
14791929ca637
153c88319a2ba
hex2034b9f8f99

2213176905625 has 45 divisors (see below), whose sum is σ = 3217488567051. Its totient is φ = 1517428500000.

The previous prime is 2213176905613. The next prime is 2213176905677. The reversal of 2213176905625 is 5265096713122.

The square root of 2213176905625 is 1487675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2213010289161 + 166616464 = 1487619^2 + 12908^2 .

It is not a de Polignac number, because 2213176905625 - 221 = 2213174808473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 260338875 + ... + 260347375.

Almost surely, 22213176905625 is an apocalyptic number.

2213176905625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2213176905625 is the 1487675-th square number.

2213176905625 is the 743838-th centered octagonal number.

It is an amenable number.

2213176905625 is a deficient number, since it is larger than the sum of its proper divisors (1004311661426).

2213176905625 is an frugal number, since it uses more digits than its factorization.

2213176905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17036 (or 8513 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

Multiplying 2213176905625 by its sum of digits (49), we get a square (108445668375625 = 104137252).

2213176905625 divided by its sum of digits (49) gives a square (45166875625 = 2125252).

The spelling of 2213176905625 in words is "two trillion, two hundred thirteen billion, one hundred seventy-six million, nine hundred five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 875 1225 4375 6125 8501 30625 42505 59507 212525 297535 416549 1062625 1487675 2082745 5313125 7438375 10413725 37191875 52068625 72267001 260343125 361335005 505869007 1806675025 2529345035 3541083049 9033375125 12646725175 17705415245 45166875625 63233625875 88527076225 316168129375 442635381125 2213176905625