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212276740225 = 5211283772
BaseRepresentation
bin1100010110110010101…
…1100000000010000001
3202021220221010201001211
43011230223200002001
511434220321141400
6241304003130121
721223262343364
oct3055453400201
9667827121054
10212276740225
118203175a900
1235183073941
131702c8c96c4
14a3ba77a0db
1557c615bdba
hex316cae0081

212276740225 has 27 divisors (see below), whose sum is σ = 289362476361. Its totient is φ = 154364654400.

The previous prime is 212276740213. The next prime is 212276740231. The reversal of 212276740225 is 522047672212.

The square root of 212276740225 is 460735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 55843833969 + 156432906256 = 236313^2 + 395516^2 .

It is not a de Polignac number, because 212276740225 - 213 = 212276732033 is a prime.

It is a super-2 number, since 2×2122767402252 (a number of 23 digits) contains 22 as substring.

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, 25336237 + ... + 25344613.

Almost surely, 2212276740225 is an apocalyptic number.

212276740225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212276740225 is the 460735-th square number.

212276740225 is the 230368-th centered octagonal number.

It is an amenable number.

212276740225 is a deficient number, since it is larger than the sum of its proper divisors (77085736136).

212276740225 is an frugal number, since it uses more digits than its factorization.

212276740225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16786 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 212276740225 in words is "two hundred twelve billion, two hundred seventy-six million, seven hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 8377 41885 92147 209425 460735 1013617 2303675 5068085 25340425 70174129 350870645 771915419 1754353225 3859577095 8491069609 19297885475 42455348045 212276740225