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23201032200 = 233521713716603
BaseRepresentation
bin10101100110111000…
…111010100000001000
32012212220211112220220
4111212320322200020
5340003431012300
614354114350040
71450641343203
oct254670724010
965786745826
1023201032200
119926417985
1245b5b8b320
132259918228
1411a149c93a
1590bcbeda0
hex566e3a808

23201032200 has 192 divisors, whose sum is σ = 76714464960. Its totient is φ = 5780152320.

The previous prime is 23201032187. The next prime is 23201032273. The reversal of 23201032200 is 223010232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23201032200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389099 + ... + 1405701.

It is an arithmetic number, because the mean of its divisors is an integer number (399554505).

Almost surely, 223201032200 is an apocalyptic number.

23201032200 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 23201032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38357232480).

23201032200 is an abundant number, since it is smaller than the sum of its proper divisors (53513432760).

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

23201032200 is a wasteful number, since it uses less digits than its factorization.

23201032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16776 (or 16767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23201032200 its reverse (223010232), we get a palindrome (23424042432).

The spelling of 23201032200 in words is "twenty-three billion, two hundred one million, thirty-two thousand, two hundred".