Search a number
-
+
219160192 = 27172329151
BaseRepresentation
bin11010001000000…
…01111010000000
3120021101111021011
431010001322000
5422101111232
633425210304
75300554666
oct1504017200
9507344234
10219160192
1110278a329
1261490994
13365353b4
142116cc36
1514391547
hexd101e80

219160192 has 128 divisors (see below), whose sum is σ = 502329600. Its totient is φ = 94617600.

The previous prime is 219160189. The next prime is 219160219. The reversal of 219160192 is 291061912.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1451317 + ... + 1451467.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450).

Almost surely, 2219160192 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 219160192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800).

219160192 is an abundant number, since it is smaller than the sum of its proper divisors (283169408).

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

219160192 is a wasteful number, since it uses less digits than its factorization.

219160192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 219160192 is about 14804.0599836666. The cubic root of 219160192 is about 602.9119484349.

The spelling of 219160192 in words is "two hundred nineteen million, one hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 23 29 32 34 46 58 64 68 92 116 128 136 151 184 232 272 302 368 391 464 493 544 604 667 736 782 928 986 1088 1208 1334 1472 1564 1856 1972 2176 2416 2567 2668 2944 3128 3473 3712 3944 4379 4832 5134 5336 6256 6946 7888 8758 9664 10268 10672 11339 12512 13892 15776 17516 19328 20536 21344 22678 25024 27784 31552 35032 41072 42688 45356 50048 55568 59041 63104 70064 74443 82144 85376 90712 100717 111136 118082 140128 148886 164288 181424 201434 222272 236164 280256 297772 328576 362848 402868 444544 472328 560512 595544 725696 805736 944656 1191088 1451392 1611472 1712189 1889312 2382176 3222944 3424378 3778624 4764352 6445888 6848756 7557248 9528704 12891776 13697512 27395024 54790048 109580096 219160192