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218215107 = 331131137173
BaseRepresentation
bin11010000000110…
…11001011000011
3120012121110212000
431000123023003
5421330340412
633353035043
75256540435
oct1500331303
9505543760
10218215107
111021a4270
12610b5a83
1336294186
1420da4655
15142564dc
hexd01b2c3

218215107 has 64 divisors (see below), whose sum is σ = 368824320. Its totient is φ = 126316800.

The previous prime is 218215103. The next prime is 218215121. The reversal of 218215107 is 701512812.

It is not a de Polignac number, because 218215107 - 22 = 218215103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (218215103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1261273 + ... + 1261445.

It is an arithmetic number, because the mean of its divisors is an integer number (5762880).

Almost surely, 2218215107 is an apocalyptic number.

218215107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

218215107 is a deficient number, since it is larger than the sum of its proper divisors (150609213).

218215107 is a wasteful number, since it uses less digits than its factorization.

218215107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 218215107 is about 14772.1057063643. The cubic root of 218215107 is about 602.0440535011.

Adding to 218215107 its reverse (701512812), we get a palindrome (919727919).

It can be divided in two parts, 21 and 8215107, that added together give a palindrome (8215128).

The spelling of 218215107 in words is "two hundred eighteen million, two hundred fifteen thousand, one hundred seven".

Divisors: 1 3 9 11 27 31 33 93 99 137 173 279 297 341 411 519 837 1023 1233 1507 1557 1903 3069 3699 4247 4521 4671 5363 5709 9207 12741 13563 16089 17127 23701 38223 40689 46717 48267 51381 58993 71103 114669 140151 144801 176979 213309 260711 420453 530937 639927 734731 782133 1261359 1592811 2204193 2346399 6612579 7039197 8082041 19837737 24246123 72738369 218215107