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190357209 = 3672732
BaseRepresentation
bin10110101100010…
…01111011011001
3111021012011000000
423112021323121
5342212412314
630520003213
74501003200
oct1326117331
9437164000
10190357209
11984a7209
1253900509
133058c203
141b3d2237
1511aa2209
hexb589ed9

190357209 has 63 divisors (see below), whose sum is σ = 336612303. Its totient is φ = 107285472.

The previous prime is 190357207. The next prime is 190357213. The reversal of 190357209 is 902753091.

The square root of 190357209 is 13797.

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

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 82301184 = 10395^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 190357209 - 21 = 190357207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (190357207) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2607597 + ... + 2607669.

Almost surely, 2190357209 is an apocalyptic number.

190357209 is the 13797-th square number.

190357209 is the 6899-th centered octagonal number.

It is an amenable number.

190357209 is a deficient number, since it is larger than the sum of its proper divisors (146255094).

190357209 is an frugal number, since it uses more digits than its factorization.

190357209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The cubic root of 190357209 is about 575.2497556472.

Multiplying 190357209 by its sum of digits (36), we get a square (6852859524 = 827822).

It can be divided in two parts, 19035 and 7209, that added together give a square (26244 = 1622).

The spelling of 190357209 in words is "one hundred ninety million, three hundred fifty-seven thousand, two hundred nine".

Divisors: 1 3 7 9 21 27 49 63 73 81 147 189 219 243 441 511 567 657 729 1323 1533 1701 1971 3577 3969 4599 5103 5329 5913 10731 11907 13797 15987 17739 32193 35721 37303 41391 47961 53217 96579 111909 124173 143883 261121 289737 335727 372519 431649 783363 869211 1007181 1294947 2350089 2607633 3021543 3884841 7050267 9064629 21150801 27193887 63452403 190357209