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228603515625 = 34510172
BaseRepresentation
bin1101010011100111010…
…1001101001011101001
3210212001202211211110000
43110321311031023221
512221140000000000
6253004034413213
722342002551562
oct3247165151351
9725052754400
10228603515625
1188a4a7a7911
123837aa31209
1318732296a54
14b0c8c91169
155e2e6a0000
hex3539d4d2e9

228603515625 has 165 divisors, whose sum is σ = 453454580557. Its totient is φ = 114750000000.

The previous prime is 228603515599. The next prime is 228603515627. The reversal of 228603515625 is 526515306822.

The square root of 228603515625 is 478125.

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

228603515625 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 0 + 3 + 5 + 15 + 625 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 37001215449 + 191602300176 = 192357^2 + 437724^2 .

It is a de Polignac number, because none of the positive numbers 2k-228603515625 is a prime.

It is a super-2 number, since 2×2286035156252 (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228603515627) by changing a digit.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 13447265617 + ... + 13447265633.

Almost surely, 2228603515625 is an apocalyptic number.

228603515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228603515625 is the 478125-th square number.

228603515625 is the 239063-rd centered octagonal number.

It is an amenable number.

228603515625 is a deficient number, since it is larger than the sum of its proper divisors (224851064932).

228603515625 is an frugal number, since it uses more digits than its factorization.

228603515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 228603515625 in words is "two hundred twenty-eight billion, six hundred three million, five hundred fifteen thousand, six hundred twenty-five".