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2215550961 = 34132295581
BaseRepresentation
bin1000010000001110…
…1001111111110001
312201101221122120000
42010003221333301
514014140112321
61003502540213
7105621605151
oct20403517761
95641848500
102215550961
11a37691258
12519b97669
13294017a00
14170368761
15ce78e826
hex840e9ff1

2215550961 has 60 divisors (see below), whose sum is σ = 3708066780. Its totient is φ = 1316165760.

The previous prime is 2215550951. The next prime is 2215550977. The reversal of 2215550961 is 1690555122.

2215550961 is a `hidden beast` number, since 2 + 2 + 15 + 550 + 96 + 1 = 666.

2215550961 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 6 ways, for example, as 460359936 + 1755191025 = 21456^2 + 41895^2 .

It is not a de Polignac number, because 2215550961 - 25 = 2215550929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2215550951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 394191 + ... + 399771.

It is an arithmetic number, because the mean of its divisors is an integer number (61801113).

Almost surely, 22215550961 is an apocalyptic number.

It is an amenable number.

2215550961 is a deficient number, since it is larger than the sum of its proper divisors (1492515819).

2215550961 is a wasteful number, since it uses less digits than its factorization.

2215550961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 2215550961 is about 47069.6394823670. The cubic root of 2215550961 is about 1303.6487162164.

The spelling of 2215550961 in words is "two billion, two hundred fifteen million, five hundred fifty thousand, nine hundred sixty-one".

Divisors: 1 3 9 13 27 29 39 81 87 117 169 261 351 377 507 783 1053 1131 1521 2349 3393 4563 4901 5581 10179 13689 14703 16743 30537 44109 50229 72553 132327 150687 161849 217659 396981 452061 485547 652977 943189 1456641 1958931 2104037 2829567 4369923 5876793 6312111 8488701 13109769 18936333 25466103 27352481 56808999 76398309 82057443 170426997 246172329 738516987 2215550961