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224354245012745 = 510914926910270681
BaseRepresentation
bin110011000000110010001011…
…000100111110110100001001
31002102101001112002021110021112
4303000302023010332310021
5213401304443210401440
62113054530045420105
765154026224305341
oct6300621304766411
91072331462243245
10224354245012745
11655391124521a1
12211b543286a635
13982568c545a03
143d58b36745d21
151ae0e7e955965
hexcc0c8b13ed09

224354245012745 has 32 divisors (see below), whose sum is σ = 274535329860000. Its totient is φ = 175986540656640.

The previous prime is 224354245012727. The next prime is 224354245012763. The reversal of 224354245012745 is 547210542453422.

It is an interprime number because it is at equal distance from previous prime (224354245012727) and next prime (224354245012763).

It can be written as a sum of positive squares in 16 ways, for example, as 139490555814544 + 84863689198201 = 11810612^2 + 9212149^2 .

It is not a de Polignac number, because 224354245012745 - 246 = 153985500835081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224354245012693 and 224354245012702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16708805 + ... + 26979485.

It is an arithmetic number, because the mean of its divisors is an integer number (8579229058125).

Almost surely, 2224354245012745 is an apocalyptic number.

It is an amenable number.

224354245012745 is a deficient number, since it is larger than the sum of its proper divisors (50181084847255).

224354245012745 is a wasteful number, since it uses less digits than its factorization.

224354245012745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271213.

The product of its (nonzero) digits is 10752000, while the sum is 50.

The spelling of 224354245012745 in words is "two hundred twenty-four trillion, three hundred fifty-four billion, two hundred forty-five million, twelve thousand, seven hundred forty-five".

Divisors: 1 5 109 149 269 545 745 1345 16241 29321 40081 81205 146605 200405 4368829 10270681 21844145 51353405 1119504229 1530331469 2762813189 5597521145 7651657345 13814065945 166806130121 301146637601 411659165161 834030650605 1505733188005 2058295825805 44870849002549 224354245012745