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212957469 = 32291575197
BaseRepresentation
bin11001011000101…
…11100100011101
3112211201100201200
430230113210131
5414004114334
633044230113
75164052154
oct1454274435
9484640650
10212957469
11aa23310a
125b39b339
133517304a
14203d659b
1513a68799
hexcb1791d

212957469 has 24 divisors (see below), whose sum is σ = 320300760. Its totient is φ = 136176768.

The previous prime is 212957467. The next prime is 212957489. The reversal of 212957469 is 964759212.

212957469 is a `hidden beast` number, since 2 + 12 + 9 + 574 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15920100 + 197037369 = 3990^2 + 14037^2 .

It is not a de Polignac number, because 212957469 - 21 = 212957467 is a prime.

It is a super-2 number, since 2×2129574692 = 90701767205771922, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212957461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38379 + ... + 43575.

It is an arithmetic number, because the mean of its divisors is an integer number (13345865).

Almost surely, 2212957469 is an apocalyptic number.

212957469 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

212957469 is a deficient number, since it is larger than the sum of its proper divisors (107343291).

212957469 is a wasteful number, since it uses less digits than its factorization.

212957469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5386 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 212957469 is about 14593.0623585319. The cubic root of 212957469 is about 597.1695098733.

The spelling of 212957469 in words is "two hundred twelve million, nine hundred fifty-seven thousand, four hundred sixty-nine".

Divisors: 1 3 9 29 87 157 261 471 1413 4553 5197 13659 15591 40977 46773 150713 452139 815929 1356417 2447787 7343361 23661941 70985823 212957469