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23230000 = 245423101
BaseRepresentation
bin101100010011…
…1011000110000
31121201012120101
41120213120300
521421330000
62145522144
7401310643
oct130473060
947635511
1023230000
1112127052
127943354
134a74681
143129a5a
15208ce6a
hex1627630

23230000 has 100 divisors (see below), whose sum is σ = 59268528. Its totient is φ = 8800000.

The previous prime is 23229967. The next prime is 23230037. The reversal of 23230000 is 3232.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229950 + ... + 230050.

Almost surely, 223230000 is an apocalyptic number.

23230000 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 23230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29634264).

23230000 is an abundant number, since it is smaller than the sum of its proper divisors (36038528).

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

23230000 is a wasteful number, since it uses less digits than its factorization.

23230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 23230000 is about 4819.7510309144. The cubic root of 23230000 is about 285.3315112315.

Adding to 23230000 its reverse (3232), we get a palindrome (23233232).

It can be divided in two parts, 23 and 230000, that multiplied together give a square (5290000 = 23002).

The spelling of 23230000 in words is "twenty-three million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 101 115 125 184 200 202 230 250 368 400 404 460 500 505 575 625 808 920 1000 1010 1150 1250 1616 1840 2000 2020 2300 2323 2500 2525 2875 4040 4600 4646 5000 5050 5750 8080 9200 9292 10000 10100 11500 11615 12625 14375 18584 20200 23000 23230 25250 28750 37168 40400 46000 46460 50500 57500 58075 63125 92920 101000 115000 116150 126250 185840 202000 230000 232300 252500 290375 464600 505000 580750 929200 1010000 1161500 1451875 2323000 2903750 4646000 5807500 11615000 23230000