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132217857 = 3217864169
BaseRepresentation
bin1111110000101…
…11110000000001
3100012210100210200
413320113300001
5232321432412
621041515413
73163555542
oct770276001
9305710720
10132217857
11686a7262
1238342b69
1321514125
14137ba4c9
15b91a9dc
hex7e17c01

132217857 has 12 divisors (see below), whose sum is σ = 202215780. Its totient is φ = 82960128.

The previous prime is 132217853. The next prime is 132217861. The reversal of 132217857 is 758712231.

It is an interprime number because it is at equal distance from previous prime (132217853) and next prime (132217861).

It can be written as a sum of positive squares in 2 ways, for example, as 96648561 + 35569296 = 9831^2 + 5964^2 .

It is not a de Polignac number, because 132217857 - 22 = 132217853 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132217853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431932 + ... + 432237.

It is an arithmetic number, because the mean of its divisors is an integer number (16851315).

Almost surely, 2132217857 is an apocalyptic number.

132217857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132217857 is a deficient number, since it is larger than the sum of its proper divisors (69997923).

132217857 is a wasteful number, since it uses less digits than its factorization.

132217857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864192 (or 864189 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 132217857 is about 11498.6023933346. The cubic root of 132217857 is about 509.4442966784. Note that the first 3 decimals are identical.

The spelling of 132217857 in words is "one hundred thirty-two million, two hundred seventeen thousand, eight hundred fifty-seven".

Divisors: 1 3 9 17 51 153 864169 2592507 7777521 14690873 44072619 132217857