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216073880 = 23511683719
BaseRepresentation
bin11001110000100…
…00011010011000
3120001120200122022
430320100122120
5420303331010
633235114012
75232412001
oct1470203230
9501520568
10216073880
11100a71560
1260442908
13359c4689
14209a81a8
1513e81d55
hexce10698

216073880 has 64 divisors (see below), whose sum is σ = 531878400. Its totient is φ = 78348160.

The previous prime is 216073877. The next prime is 216073901. The reversal of 216073880 is 88370612.

It is a self number, because there is not a number n which added to its sum of digits gives 216073880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300161 + ... + 300879.

It is an arithmetic number, because the mean of its divisors is an integer number (8310600).

Almost surely, 2216073880 is an apocalyptic number.

216073880 is a gapful number since it is divisible by the number (20) 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 216073880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265939200).

216073880 is an abundant number, since it is smaller than the sum of its proper divisors (315804520).

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

216073880 is a wasteful number, since it uses less digits than its factorization.

216073880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 216073880 is about 14699.4516904543. The cubic root of 216073880 is about 600.0683996096.

The spelling of 216073880 in words is "two hundred sixteen million, seventy-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 683 719 1366 1438 2732 2876 3415 3595 5464 5752 6830 7190 7513 7909 13660 14380 15026 15818 27320 28760 30052 31636 37565 39545 60104 63272 75130 79090 150260 158180 300520 316360 491077 982154 1964308 2455385 3928616 4910770 5401847 9821540 10803694 19643080 21607388 27009235 43214776 54018470 108036940 216073880