Search a number
-
+
2164473576225 = 3252980812
BaseRepresentation
bin11111011111110100101…
…011011011101100100001
321122220212212220012212100
4133133310223123230201
5240430320213414400
64334202340321013
7312243446556402
oct37376453335441
97586785805770
102164473576225
11764a479a6a84
122ab5a59a3169
131291555854cc
1476a925919a9
153b482589100
hex1f7f4adbb21

2164473576225 has 27 divisors (see below), whose sum is σ = 3876852199129. Its totient is φ = 1154374137600.

The previous prime is 2164473576149. The next prime is 2164473576257. The reversal of 2164473576225 is 5226753744612.

The square root of 2164473576225 is 1471215.

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

2164473576225 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 4 + 7 + 3 + 5 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 988177153041 + 1176296423184 = 994071^2 + 1084572^2 .

It is not a de Polignac number, because 2164473576225 - 211 = 2164473574177 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, 22019185 + ... + 22117265.

Almost surely, 22164473576225 is an apocalyptic number.

2164473576225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2164473576225 is the 1471215-th square number.

2164473576225 is the 735608-th centered octagonal number.

It is an amenable number.

2164473576225 is a deficient number, since it is larger than the sum of its proper divisors (1712378622904).

2164473576225 is an frugal number, since it uses more digits than its factorization.

2164473576225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196178 (or 98089 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 2164473576225 in words is "two trillion, one hundred sixty-four billion, four hundred seventy-three million, five hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 98081 294243 490405 882729 1471215 2452025 4413645 7356075 22068225 9619882561 28859647683 48099412805 86578943049 144298238415 240497064025 432894715245 721491192075 2164473576225