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219804012 = 223231892213
BaseRepresentation
bin11010001100111…
…11000101101100
3120022121012102100
431012133011230
5422232212022
633451055100
75306206011
oct1506370554
9508535370
10219804012
1110308a00a
1261741490
13366cc45c
1421299708
151446c1ac
hexd19f16c

219804012 has 72 divisors (see below), whose sum is σ = 580245120. Its totient is φ = 70076160.

The previous prime is 219803959. The next prime is 219804017. The reversal of 219804012 is 210408912.

219804012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2198040122 = 96627607382592288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (219804017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98218 + ... + 100430.

It is an arithmetic number, because the mean of its divisors is an integer number (8058960).

Almost surely, 2219804012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219804012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290122560).

219804012 is an abundant number, since it is smaller than the sum of its proper divisors (360441108).

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

219804012 is a wasteful number, since it uses less digits than its factorization.

219804012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 219804012 is about 14825.7887479891. The cubic root of 219804012 is about 603.5017564112.

The spelling of 219804012 in words is "two hundred nineteen million, eight hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 89 93 124 178 186 267 279 356 372 534 558 801 1068 1116 1602 2213 2759 3204 4426 5518 6639 8277 8852 11036 13278 16554 19917 24831 26556 33108 39834 49662 68603 79668 99324 137206 196957 205809 274412 393914 411618 590871 617427 787828 823236 1181742 1234854 1772613 2363484 2469708 3545226 6105667 7090452 12211334 18317001 24422668 36634002 54951003 73268004 109902006 219804012