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23229400 = 2352196113
BaseRepresentation
bin101100010011…
…1001111011000
31121201011202011
41120213033120
521421320100
62145515304
7401306125
oct130471730
947634664
1023229400
1112126657
127942b34
134a7430c
14312974c
15208cbba
hex16273d8

23229400 has 48 divisors (see below), whose sum is σ = 56860200. Its totient is φ = 8801280.

The previous prime is 23229391. The next prime is 23229407. The reversal of 23229400 is 492232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23229407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 744 + ... + 6856.

Almost surely, 223229400 is an apocalyptic number.

23229400 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 23229400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28430100).

23229400 is an abundant number, since it is smaller than the sum of its proper divisors (33630800).

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

23229400 is a wasteful number, since it uses less digits than its factorization.

23229400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 23229400 is about 4819.6887866334. The cubic root of 23229400 is about 285.3290546325.

The spelling of 23229400 in words is "twenty-three million, two hundred twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 6113 12226 24452 30565 48904 61130 116147 122260 152825 232294 244520 305650 464588 580735 611300 929176 1161470 1222600 2322940 2903675 4645880 5807350 11614700 23229400