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219152106 = 23212175117
BaseRepresentation
bin11010000111111…
…11111011101010
3120021101002011200
431003333323222
5422100331411
633425105030
75300522265
oct1503777352
9507332150
10219152106
11102784248
1261488176
1336531804
1421169cdc
151438de56
hexd0ffeea

219152106 has 12 divisors (see below), whose sum is σ = 474829602. Its totient is φ = 73050696.

The previous prime is 219152071. The next prime is 219152183. The reversal of 219152106 is 601251912.

It can be written as a sum of positive squares in only one way, i.e., 191684025 + 27468081 = 13845^2 + 5241^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 219152106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6087541 + ... + 6087576.

Almost surely, 2219152106 is an apocalyptic number.

219152106 is an abundant number, since it is smaller than the sum of its proper divisors (255677496).

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

219152106 is a wasteful number, since it uses less digits than its factorization.

219152106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175125 (or 12175122 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 219152106 is about 14803.7868803898. The cubic root of 219152106 is about 602.9045334539.

The spelling of 219152106 in words is "two hundred nineteen million, one hundred fifty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 12175117 24350234 36525351 73050702 109576053 219152106