[go: up one dir, main page]

Search a number
-
+
28219200 = 263525879
BaseRepresentation
bin110101110100…
…1011101000000
31222002200110120
41223221131000
524211003300
62444500240
7461600502
oct153513500
958080416
1028219200
1114a24559
12954a680
135b00569
143a67d72
1527263a0
hex1ae9740

28219200 has 84 divisors (see below), whose sum is σ = 92598240. Its totient is φ = 7523840.

The previous prime is 28219189. The next prime is 28219211. The reversal of 28219200 is 291282.

It is an interprime number because it is at equal distance from previous prime (28219189) and next prime (28219211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1861 + ... + 7739.

It is an arithmetic number, because the mean of its divisors is an integer number (1102360).

Almost surely, 228219200 is an apocalyptic number.

28219200 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 28219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46299120).

28219200 is an abundant number, since it is smaller than the sum of its proper divisors (64379040).

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

28219200 is a wasteful number, since it uses less digits than its factorization.

28219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 28219200 is about 5312.1746959226. The cubic root of 28219200 is about 304.4492434563.

It can be divided in two parts, 2821 and 9200, that added together give a palindrome (12021).

The spelling of 28219200 in words is "twenty-eight million, two hundred nineteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 5879 11758 17637 23516 29395 35274 47032 58790 70548 88185 94064 117580 141096 146975 176370 188128 235160 282192 293950 352740 376256 440925 470320 564384 587900 705480 881850 940640 1128768 1175800 1410960 1763700 1881280 2351600 2821920 3527400 4703200 5643840 7054800 9406400 14109600 28219200