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218148147 = 367231197
BaseRepresentation
bin11010000000010…
…10110100110011
3120012111002000000
431000022310303
5421321220042
633351401043
75256141300
oct1500126463
9505432000
10218148147
11102158a28
1261083183
133626c859
1420d880a7
151424174c
hexd00ad33

218148147 has 84 divisors (see below), whose sum is σ = 394739136. Its totient is φ = 120022560.

The previous prime is 218148137. The next prime is 218148149. The reversal of 218148147 is 741841812.

It is not a de Polignac number, because 218148147 - 27 = 218148019 is a prime.

It is a super-2 number, since 2×2181481472 = 95177228079067218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218148149) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1107253 + ... + 1107449.

Almost surely, 2218148147 is an apocalyptic number.

218148147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

218148147 is a deficient number, since it is larger than the sum of its proper divisors (176590989).

218148147 is an equidigital number, since it uses as much as digits as its factorization.

218148147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 218148147 is about 14769.8390986497. The cubic root of 218148147 is about 601.9824674901.

Adding to 218148147 its reverse (741841812), we get a palindrome (959989959).

The spelling of 218148147 in words is "two hundred eighteen million, one hundred forty-eight thousand, one hundred forty-seven".

Divisors: 1 3 7 9 21 27 31 49 63 81 93 147 189 197 217 243 279 441 567 591 651 729 837 1323 1379 1519 1701 1773 1953 2511 3969 4137 4557 5103 5319 5859 6107 7533 9653 11907 12411 13671 15957 17577 18321 22599 28959 35721 37233 41013 42749 47871 52731 54963 86877 111699 123039 128247 143613 158193 164889 260631 299243 335097 369117 384741 494667 781893 897729 1005291 1107351 1154223 1484001 2345679 2693187 3462669 4452003 7037037 8079561 10388007 24238683 31164021 72716049 218148147