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219080312 = 23111011572
BaseRepresentation
bin11010000111011…
…10011001111000
3120021020102200122
431003232121320
5422041032222
633423352412
75300103053
oct1503563170
9507212618
10219080312
11102735310
1261452708
1336507c29
142114ba9a
1514377a42
hexd0ee678

219080312 has 48 divisors (see below), whose sum is σ = 455456520. Its totient is φ = 97968000.

The previous prime is 219080287. The next prime is 219080333. The reversal of 219080312 is 213080912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1395338 + ... + 1395494.

Almost surely, 2219080312 is an apocalyptic number.

219080312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219080312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227728260).

219080312 is an abundant number, since it is smaller than the sum of its proper divisors (236376208).

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

219080312 is a wasteful number, since it uses less digits than its factorization.

219080312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 219080312 is about 14801.3618292372. The cubic root of 219080312 is about 602.8386892990.

The spelling of 219080312 in words is "two hundred nineteen million, eighty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 157 202 314 404 628 808 1111 1256 1727 2222 3454 4444 6908 8888 13816 15857 24649 31714 49298 63428 98596 126856 174427 197192 271139 348854 542278 697708 1084556 1395416 2169112 2489549 4979098 9958196 19916392 27385039 54770078 109540156 219080312