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23285400 = 233521972
BaseRepresentation
bin101100011010…
…0111010011000
31121211000120020
41120310322120
521430113100
62151030440
7401631315
oct130647230
947730506
1023285400
1112164736
12796b420
134a93958
143141d0c
15209e5a0
hex1634e98

23285400 has 72 divisors (see below), whose sum is σ = 72553020. Its totient is φ = 6177920.

The previous prime is 23285399. The next prime is 23285429. The reversal of 23285400 is 458232.

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 17 ways as a sum of consecutive naturals, for example, 118102 + ... + 118298.

Almost surely, 223285400 is an apocalyptic number.

23285400 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 23285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36276510).

23285400 is an abundant number, since it is smaller than the sum of its proper divisors (49267620).

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

23285400 is a wasteful number, since it uses less digits than its factorization.

23285400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 23285400 is about 4825.4947932829. The cubic root of 23285400 is about 285.5581551731.

Multiplying 23285400 by its sum of digits (24), we get a square (558849600 = 236402).

23285400 divided by its sum of digits (24) gives a square (970225 = 9852).

The spelling of 23285400 in words is "twenty-three million, two hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 197 200 300 394 591 600 788 985 1182 1576 1970 2364 2955 3940 4728 4925 5910 7880 9850 11820 14775 19700 23640 29550 38809 39400 59100 77618 116427 118200 155236 194045 232854 310472 388090 465708 582135 776180 931416 970225 1164270 1552360 1940450 2328540 2910675 3880900 4657080 5821350 7761800 11642700 23285400