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212400045 = 325111322539
BaseRepresentation
bin11001010100011…
…11011110101101
3112210200001002100
430222033132231
5413333300140
633024245313
75156241054
oct1452173655
9483601070
10212400045
11a9992330
125b170839
1335009400
14202cd39b
15139a8530
hexca8f7ad

212400045 has 72 divisors (see below), whose sum is σ = 435071520. Its totient is φ = 95022720.

The previous prime is 212400037. The next prime is 212400077. The reversal of 212400045 is 540004212.

It is not a de Polignac number, because 212400045 - 23 = 212400037 is a prime.

It is a super-2 number, since 2×2124000452 = 90227558232004050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 82386 + ... + 84924.

It is an arithmetic number, because the mean of its divisors is an integer number (6042660).

Almost surely, 2212400045 is an apocalyptic number.

It is an amenable number.

212400045 is an abundant number, since it is smaller than the sum of its proper divisors (222671475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212400045 is a wasteful number, since it uses less digits than its factorization.

212400045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 212400045 is about 14573.9509056398. The cubic root of 212400045 is about 596.6480168877.

Adding to 212400045 its reverse (540004212), we get a palindrome (752404257).

The spelling of 212400045 in words is "two hundred twelve million, four hundred thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 169 195 429 495 507 585 715 845 1287 1521 1859 2145 2535 2539 5577 6435 7605 7617 9295 12695 16731 22851 27885 27929 33007 38085 83655 83787 99021 114255 139645 165035 251361 297063 363077 418935 429091 495105 1089231 1256805 1287273 1485315 1815385 2145455 3267693 3861819 4720001 5446155 6436365 14160003 16338465 19309095 23600005 42480009 70800015 212400045