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23001442200 = 233252113731397
BaseRepresentation
bin10101011010111111…
…100010011110011000
32012101000021022220200
4111122333202132120
5334101332122300
614322224422200
71442666014152
oct253277423630
965330238820
1023001442200
119833794a70
12455b177960
132227475739
141182b85ad2
158e94e7200
hex55afe2798

23001442200 has 288 divisors, whose sum is σ = 86549214960. Its totient is φ = 5425228800.

The previous prime is 23001442111. The next prime is 23001442207. The reversal of 23001442200 is 224410032.

23001442200 is a `hidden beast` number, since 2 + 300 + 144 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001442207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 716902 + ... + 748298.

Almost surely, 223001442200 is an apocalyptic number.

23001442200 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 23001442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43274607480).

23001442200 is an abundant number, since it is smaller than the sum of its proper divisors (63547772760).

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

23001442200 is a wasteful number, since it uses less digits than its factorization.

23001442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31467 (or 31455 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 23001442200 its reverse (224410032), we get a palindrome (23225852232).

The spelling of 23001442200 in words is "twenty-three billion, one million, four hundred forty-two thousand, two hundred".