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2193517225 = 52172192292
BaseRepresentation
bin1000001010111110…
…0110101010101001
312122212111012221201
42002233212222221
513443020022400
61001354404201
7105233405644
oct20257465251
95585435851
102193517225
11a26201a59
12512730661
1328c5a19b3
1416b470a5b
15cc88b06a
hex82be6aa9

2193517225 has 81 divisors (see below), whose sum is σ = 3158225967. Its totient is φ = 1510709760.

The previous prime is 2193517223. The next prime is 2193517237. The reversal of 2193517225 is 5227153912.

It is a happy number.

The square root of 2193517225 is 46835.

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

2193517225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 714653289 + 1478863936 = 26733^2 + 38456^2 .

It is not a de Polignac number, because 2193517225 - 21 = 2193517223 is a prime.

It is a Duffinian number.

Its product of digits (37800) is a multiple of the sum of its prime divisors (70).

It is not an unprimeable number, because it can be changed into a prime (2193517223) 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, 75638511 + ... + 75638539.

Almost surely, 22193517225 is an apocalyptic number.

2193517225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2193517225 is the 46835-th square number.

2193517225 is the 23418-th centered octagonal number.

It is an amenable number.

2193517225 is a deficient number, since it is larger than the sum of its proper divisors (964708742).

2193517225 is a wasteful number, since it uses less digits than its factorization.

2193517225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 70 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The cubic root of 2193517225 is about 1299.3126988227.

It can be divided in two parts, 219351 and 7225, that added together give a square (226576 = 4762).

The spelling of 2193517225 in words is "two billion, one hundred ninety-three million, five hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 5 17 19 25 29 85 95 145 289 323 361 425 475 493 551 725 841 1445 1615 1805 2465 2755 4205 5491 6137 7225 8075 8381 9025 9367 10469 12325 13775 14297 15979 21025 27455 30685 41905 46835 52345 71485 79895 104329 137275 153425 159239 177973 209525 234175 243049 261725 271643 303601 357425 399475 521645 796195 889865 1215245 1358215 1518005 2608225 3025541 3980975 4449325 4617931 5161217 6076225 6791075 7590025 15127705 23089655 25806085 75638525 87740689 115448275 129030425 438703445 2193517225