[go: up one dir, main page]

Search a number
-
+
19022100 = 22352163389
BaseRepresentation
bin100100010010…
…0000100010100
31022210102102020
41020210010110
514332201400
61515413140
7320454006
oct110440424
938712366
1019022100
11a812649
1264541b0
133c302a6
142752376
151a0b2a0
hex1224114

19022100 has 72 divisors (see below), whose sum is σ = 55517280. Its totient is φ = 5028480.

The previous prime is 19022093. The next prime is 19022119. The reversal of 19022100 is 122091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 19022100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48706 + ... + 49094.

Almost surely, 219022100 is an apocalyptic number.

19022100 is a gapful number since it is divisible by the number (10) 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 19022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27758640).

19022100 is an abundant number, since it is smaller than the sum of its proper divisors (36495180).

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

19022100 is a wasteful number, since it uses less digits than its factorization.

19022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 19022100 is about 4361.4332506643. The cubic root of 19022100 is about 266.9435838665.

Adding to 19022100 its reverse (122091), we get a palindrome (19144191).

The spelling of 19022100 in words is "nineteen million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 389 489 652 778 815 978 1167 1556 1630 1945 1956 2334 2445 3260 3890 4075 4668 4890 5835 7780 8150 9725 9780 11670 12225 16300 19450 23340 24450 29175 38900 48900 58350 63407 116700 126814 190221 253628 317035 380442 634070 760884 951105 1268140 1585175 1902210 3170350 3804420 4755525 6340700 9511050 19022100