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228467306068225 = 5272312139312
BaseRepresentation
bin110011111100101000110000…
…100111101111100100000001
31002221221021001101021212021221
4303330220300213233210001
5214421202020323140400
62125524233110315041
766060134553366100
oct6374506047574401
91087837041255257
10228467306068225
1166884493166194
122175a5b2658a81
139a634b3a7c073
14405bc3b606037
151b62e5b60cc1a
hexcfca309ef901

228467306068225 has 81 divisors (see below), whose sum is σ = 340550528225283. Its totient is φ = 151598757996000.

The previous prime is 228467306068219. The next prime is 228467306068247. The reversal of 228467306068225 is 522860603764822.

The square root of 228467306068225 is 15115135.

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

228467306068225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 82248230184561 + 146219075883664 = 9069081^2 + 12092108^2 .

It is not a de Polignac number, because 228467306068225 - 219 = 228467305543937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16399914510 + ... + 16399928440.

Almost surely, 2228467306068225 is an apocalyptic number.

228467306068225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228467306068225 is the 15115135-th square number.

228467306068225 is the 7557568-th centered octagonal number.

It is an amenable number.

228467306068225 is a deficient number, since it is larger than the sum of its proper divisors (112083222157058).

228467306068225 is an frugal number, since it uses more digits than its factorization.

228467306068225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27948 (or 13974 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 61.

The spelling of 228467306068225 in words is "two hundred twenty-eight trillion, four hundred sixty-seven billion, three hundred six million, sixty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 31 35 49 155 175 217 245 775 961 1085 1225 1519 4805 5425 6727 7595 13931 24025 33635 37975 47089 69655 97517 168175 235445 348275 431861 487585 682619 1177225 2159305 2437925 3023027 3413095 10796525 13387691 15115135 17065475 21161189 66938455 75575675 93713837 105805945 194072761 334692275 468569185 529029725 655996859 970363805 1358509327 2342845925 3279984295 4851819025 6016255591 6792546635 9509565289 16399921475 30081277955 33962733175 42113789137 47547826445 150406389775 186503923321 210568945685 237739132225 294796523959 932519616605 1052844728425 1305527463247 1473982619795 4662598083025 6527637316235 7369913098975 9138692242729 32638186581175 45693461213645 228467306068225