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214614460225 = 5211284232
BaseRepresentation
bin1100011111100000000…
…1001100011101000001
3202111221211222012001001
43013320001030131001
512004012300211400
6242331552412001
721335226545524
oct3077001143501
9674854865031
10214614460225
11830212a4500
1235715b47001
131731301a689
14a55d026bbb
1558b14cea6a
hex31f804c741

214614460225 has 27 divisors (see below), whose sum is σ = 292548920419. Its totient is φ = 156064713200.

The previous prime is 214614460219. The next prime is 214614460261. The reversal of 214614460225 is 522064416412.

The square root of 214614460225 is 463265.

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

It can be written as a sum of positive squares in only one way, i.e., 77261205681 + 137353254544 = 277959^2 + 370612^2 .

It is not a de Polignac number, because 214614460225 - 29 = 214614459713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25475364 + ... + 25483786.

Almost surely, 2214614460225 is an apocalyptic number.

214614460225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

214614460225 is the 463265-th square number.

214614460225 is the 231633-rd centered octagonal number.

It is an amenable number.

214614460225 is a deficient number, since it is larger than the sum of its proper divisors (77934460194).

214614460225 is an frugal number, since it uses more digits than its factorization.

214614460225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16878 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 214614460225 its reverse (522064416412), we get a palindrome (736678876637).

The spelling of 214614460225 in words is "two hundred fourteen billion, six hundred fourteen million, four hundred sixty thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 8423 42115 92653 210575 463265 1019183 2316325 5095915 25479575 70946929 354734645 780416219 1773673225 3902081095 8584578409 19510405475 42922892045 214614460225