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355888225 = 5276112
BaseRepresentation
bin10101001101100…
…110110001100001
3220210122222212101
4111031212301201
51212101410400
655151530401
711551000000
oct2515466141
9823588771
10355888225
11172987100
129b229a01
1358968364
14353a0c37
152139d56a
hex15366c61

355888225 has 63 divisors (see below), whose sum is σ = 565910611. Its totient is φ = 221852400.

The previous prime is 355888193. The next prime is 355888229. The reversal of 355888225 is 522888553.

The square root of 355888225 is 18865.

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., 128119761 + 227768464 = 11319^2 + 15092^2 .

It is not a de Polignac number, because 355888225 - 25 = 355888193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (355888229) 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, 32353470 + ... + 32353480.

Almost surely, 2355888225 is an apocalyptic number.

355888225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

355888225 is the 18865-th square number.

355888225 is the 9433-rd centered octagonal number.

It is an amenable number.

355888225 is a deficient number, since it is larger than the sum of its proper divisors (210022386).

355888225 is an frugal number, since it uses more digits than its factorization.

355888225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its digits is 768000, while the sum is 46.

The cubic root of 355888225 is about 708.6599235217.

The spelling of 355888225 in words is "three hundred fifty-five million, eight hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 343 385 539 605 847 1225 1715 1925 2401 2695 3025 3773 4235 5929 8575 12005 13475 16807 18865 21175 26411 29645 41503 60025 84035 94325 117649 132055 148225 184877 207515 290521 420175 588245 660275 924385 1037575 1294139 1452605 2033647 2941225 4621925 6470695 7263025 10168235 14235529 32353475 50841175 71177645 355888225