Search a number
-
+
2215152978921 = 3461227112
BaseRepresentation
bin100000001111000001011…
…010000000101111101001
321211202200211010121210000
4200033001122000233221
5242243113130311141
64413343252013213
7316016361436131
oct40170132005751
97752624117700
102215152978921
11784494120363
122b938a301209
13130b7100235c
14792dd217ac1
153c94b8d35b6
hex203c1680be9

2215152978921 has 45 divisors (see below), whose sum is σ = 3365433190119. Its totient is φ = 1452023528400.

The previous prime is 2215152978893. The next prime is 2215152978937. The reversal of 2215152978921 is 1298792515122.

The square root of 2215152978921 is 1488339.

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

2215152978921 is a `hidden beast` number, since 2 + 2 + 1 + 515 + 29 + 7 + 89 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72032655321 + 2143120323600 = 268389^2 + 1463940^2 .

It is not a de Polignac number, because 2215152978921 - 25 = 2215152978889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2215152978991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 817096756 + ... + 817099466.

Almost surely, 22215152978921 is an apocalyptic number.

2215152978921 is the 1488339-th square number.

2215152978921 is the 744170-th centered octagonal number.

It is an amenable number.

2215152978921 is a deficient number, since it is larger than the sum of its proper divisors (1150280211198).

2215152978921 is an frugal number, since it uses more digits than its factorization.

2215152978921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 2775 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 2215152978921 in words is "two trillion, two hundred fifteen billion, one hundred fifty-two million, nine hundred seventy-eight thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 61 81 183 549 1647 2711 3721 4941 8133 11163 24399 33489 73197 100467 165371 219591 301401 496113 1488339 4465017 7349521 10087631 13395051 22048563 30262893 66145689 90788679 198437067 272366037 448320781 595311201 817098111 1344962343 4034887029 12104661087 27347567641 36313983261 82042702923 246128108769 738384326307 2215152978921