Search a number
-
+
227863977201 = 347275772
BaseRepresentation
bin1101010000110111000…
…0000101110011110001
3210210011020021101110000
43110031300011303301
512213131134232301
6252402415500213
722314452564100
oct3241560056361
9723136241400
10227863977201
1188700302733
12381b3227669
1318644cc2c53
14b058984037
155dd97bc786
hex350dc05cf1

227863977201 has 45 divisors (see below), whose sum is σ = 396015442779. Its totient is φ = 130190802336.

The previous prime is 227863977179. The next prime is 227863977259. The reversal of 227863977201 is 102779368722.

The square root of 227863977201 is 477351.

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

227863977201 is a `hidden beast` number, since 227 + 8 + 6 + 397 + 7 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1501175025 + 226362802176 = 38745^2 + 475776^2 .

It is not a de Polignac number, because 227863977201 - 223 = 227855588593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (227863997201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30069325 + ... + 30076901.

Almost surely, 2227863977201 is an apocalyptic number.

227863977201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

227863977201 is the 477351-st square number.

227863977201 is the 238676-th centered octagonal number.

It is an amenable number.

227863977201 is a deficient number, since it is larger than the sum of its proper divisors (168151465578).

227863977201 is an frugal number, since it uses more digits than its factorization.

227863977201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15180 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 227863977201 in words is "two hundred twenty-seven billion, eight hundred sixty-three million, nine hundred seventy-seven thousand, two hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 7577 22731 53039 68193 159117 204579 371273 477351 613737 1113819 1432053 3341457 4296159 10024371 30073113 57410929 172232787 401876503 516698361 1205629509 1550095083 2813135521 3616888527 4650285249 8439406563 10850665581 25318219689 32551996743 75954659067 227863977201