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23023000 = 23537111323
BaseRepresentation
bin101011111010…
…0110110011000
31121022200121201
41113310312120
521343214000
62141243544
7366456310
oct127646630
947280551
1023023000
1111aa5580
1278635b4
134a013a0
1430b4440
15204b96a
hex15f4d98

23023000 has 256 divisors, whose sum is σ = 75479040. Its totient is φ = 6336000.

The previous prime is 23022953. The next prime is 23023001. The reversal of 23023000 is 32032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000989 + ... + 1001011.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 223023000 is an apocalyptic number.

23023000 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 23023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

23023000 is an abundant number, since it is smaller than the sum of its proper divisors (52456040).

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

23023000 is a wasteful number, since it uses less digits than its factorization.

23023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 61 counting only the distinct ones).

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

The square root of 23023000 is about 4798.2288398950. The cubic root of 23023000 is about 284.4814619702.

Adding to 23023000 its reverse (32032), we get a palindrome (23055032).

It can be divided in two parts, 230 and 23000, that multiplied together give a square (5290000 = 23002).

The spelling of 23023000 in words is "twenty-three million, twenty-three thousand".