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241488702225 = 32521814
BaseRepresentation
bin1110000011100111011…
…0010010101100010001
3212002022202121010112100
43200321312102230101
512424032101432400
6302534404551013
723306213046351
oct3407166225421
9762282533470
10241488702225
1193462093261
123a9760b2469
1319a06939514
14b98c290b61
1564359c3100
hex3839d92b11

241488702225 has 45 divisors (see below), whose sum is σ = 434936059415. Its totient is φ = 128082405600.

The previous prime is 241488702187. The next prime is 241488702253. The reversal of 241488702225 is 522207884142.

The square root of 241488702225 is 491415.

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

241488702225 is a `hidden beast` number, since 2 + 414 + 8 + 8 + 7 + 0 + 2 + 225 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 137219125761 + 104269576464 = 370431^2 + 322908^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 241488702225 - 213 = 241488694033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1334191635 + ... + 1334191815.

Almost surely, 2241488702225 is an apocalyptic number.

241488702225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

241488702225 is the 491415-th square number.

241488702225 is the 245708-th centered octagonal number.

It is an amenable number.

241488702225 is a deficient number, since it is larger than the sum of its proper divisors (193447357190).

241488702225 is an frugal number, since it uses more digits than its factorization.

241488702225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 241488702225 in words is "two hundred forty-one billion, four hundred eighty-eight million, seven hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 181 225 543 905 1629 2715 4525 8145 13575 32761 40725 98283 163805 294849 491415 819025 1474245 2457075 5929741 7371225 17789223 29648705 53367669 88946115 148243525 266838345 444730575 1073283121 1334191725 3219849363 5366415605 9659548089 16099246815 26832078025 48297740445 80496234075 241488702225