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28193100 = 22352137229
BaseRepresentation
bin110101110001…
…1000101001100
31222001100122220
41223203011030
524204134400
62444135340
7461431425
oct153430514
958040586
1028193100
1114a06991
129537550
135ac1710
143a5c64c
15271d7a0
hex1ae314c

28193100 has 72 divisors (see below), whose sum is σ = 87858960. Its totient is φ = 6938880.

The previous prime is 28193071. The next prime is 28193119. The reversal of 28193100 is 139182.

It is a super-2 number, since 2×281931002 = 1589701775220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286 + ... + 7514.

Almost surely, 228193100 is an apocalyptic number.

28193100 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 28193100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43929480).

28193100 is an abundant number, since it is smaller than the sum of its proper divisors (59665860).

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

28193100 is a wasteful number, since it uses less digits than its factorization.

28193100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 28193100 is about 5309.7175066099. The cubic root of 28193100 is about 304.3553525793.

The spelling of 28193100 in words is "twenty-eight million, one hundred ninety-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 7229 14458 21687 28916 36145 43374 72290 86748 93977 108435 144580 180725 187954 216870 281931 361450 375908 433740 469885 542175 563862 722900 939770 1084350 1127724 1409655 1879540 2168700 2349425 2819310 4698850 5638620 7048275 9397700 14096550 28193100