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224315404225 = 521147129713381
BaseRepresentation
bin1101000011101000111…
…1010110111111000001
3210102222221000012110021
43100322033112333001
512133344220413400
6251014333333441
722130513322223
oct3207217267701
9712887005407
10224315404225
118714a21a2a0
1237582937281
13181caa7a923
14abdd580413
155c7ceb871a
hex343a3d6fc1

224315404225 has 48 divisors (see below), whose sum is σ = 310155791616. Its totient is φ = 159532416000.

The previous prime is 224315404219. The next prime is 224315404253. The reversal of 224315404225 is 522404513422.

It is not a de Polignac number, because 224315404225 - 23 = 224315404217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16757035 + ... + 16770415.

It is an arithmetic number, because the mean of its divisors is an integer number (6461578992).

Almost surely, 2224315404225 is an apocalyptic number.

224315404225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224315404225 is a deficient number, since it is larger than the sum of its proper divisors (85840387391).

224315404225 is a wasteful number, since it uses less digits than its factorization.

224315404225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14746 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 224315404225 its reverse (522404513422), we get a palindrome (746719917647).

The spelling of 224315404225 in words is "two hundred twenty-four billion, three hundred fifteen million, four hundred four thousand, two hundred twenty-five".

Divisors: 1 5 11 25 47 55 235 275 517 1175 1297 2585 6485 12925 13381 14267 32425 60959 66905 71335 147191 304795 334525 356675 628907 670549 735955 1523975 3144535 3352745 3679775 6917977 15722675 16763725 17355157 34589885 86775785 172949425 190906727 433878925 815692379 954533635 4078461895 4772668175 8972616169 20392309475 44863080845 224315404225