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219891042 = 23271919137
BaseRepresentation
bin11010001101101…
…00010101100010
3120022202121210200
431012310111202
5422243003132
633453010030
75310020520
oct1506642542
9508677720
10219891042
11103139438
1261783916
133672cc57
14212bd310
1514487d7c
hexd1b4562

219891042 has 48 divisors (see below), whose sum is σ = 547402752. Its totient is φ = 62490240.

The previous prime is 219891019. The next prime is 219891043. The reversal of 219891042 is 240198912.

It is a junction number, because it is equal to n+sod(n) for n = 219890988 and 219891006.

It is not an unprimeable number, because it can be changed into a prime (219891043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19498 + ... + 28634.

It is an arithmetic number, because the mean of its divisors is an integer number (11404224).

Almost surely, 2219891042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219891042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273701376).

219891042 is an abundant number, since it is smaller than the sum of its proper divisors (327511710).

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

219891042 is a wasteful number, since it uses less digits than its factorization.

219891042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 219891042 is about 14828.7235458754. The cubic root of 219891042 is about 603.5813967946.

The spelling of 219891042 in words is "two hundred nineteen million, eight hundred ninety-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 1146 1337 1719 2674 3438 4011 8022 9137 12033 18274 24066 27411 54822 63959 82233 127918 164466 191877 383754 575631 1151262 1745167 3490334 5235501 10471002 12216169 15706503 24432338 31413006 36648507 73297014 109945521 219891042