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226085985225 = 3252316992
BaseRepresentation
bin1101001010001111000…
…1100101101111001001
3210121120022200000222100
43102203301211233021
512201011003011400
6251510143144013
722222423111032
oct3224361455711
9717508600870
10226085985225
118797870aa81
12379978a5009
131842083a2a9
14ad2a799a89
155d33660100
hex34a3c65bc9

226085985225 has 27 divisors (see below), whose sum is σ = 404957895303. Its totient is φ = 120575388240.

The previous prime is 226085985199. The next prime is 226085985233. The reversal of 226085985225 is 522589580622.

The square root of 226085985225 is 475485.

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

226085985225 is a `hidden beast` number, since 2 + 2 + 60 + 8 + 59 + 8 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81390954681 + 144695030544 = 285291^2 + 380388^2 .

It is not a de Polignac number, because 226085985225 - 29 = 226085984713 is a prime.

It is a super-2 number, since 2×2260859852252 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7116426 + ... + 7148124.

Almost surely, 2226085985225 is an apocalyptic number.

226085985225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

226085985225 is the 475485-th square number.

226085985225 is the 237743-rd centered octagonal number.

It is an amenable number.

226085985225 is a deficient number, since it is larger than the sum of its proper divisors (178871910078).

226085985225 is an frugal number, since it uses more digits than its factorization.

226085985225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63414 (or 31707 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 226085985225 in words is "two hundred twenty-six billion, eighty-five million, nine hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 31699 95097 158495 285291 475485 792475 1426455 2377425 7132275 1004826601 3014479803 5024133005 9043439409 15072399015 25120665025 45217197045 75361995075 226085985225