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20233132300 = 22521935929663
BaseRepresentation
bin10010110101111111…
…010001100100001100
31221020002012121122101
4102311333101210030
5312414140213200
613143414124444
71314252533623
oct226577214414
957202177571
1020233132300
118643091847
123b08050724
131ba5a92844
14d9d2506ba
157d646c26a
hex4b5fd190c

20233132300 has 72 divisors (see below), whose sum is σ = 46347033600. Its totient is φ = 7645677120.

The previous prime is 20233132253. The next prime is 20233132313. The reversal of 20233132300 is 323133202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667269 + ... + 696931.

It is an arithmetic number, because the mean of its divisors is an integer number (643708800).

Almost surely, 220233132300 is an apocalyptic number.

20233132300 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 20233132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173516800).

20233132300 is an abundant number, since it is smaller than the sum of its proper divisors (26113901300).

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

20233132300 is a wasteful number, since it uses less digits than its factorization.

20233132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30055 (or 30048 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 20233132300 its reverse (323133202), we get a palindrome (20556265502).

The spelling of 20233132300 in words is "twenty billion, two hundred thirty-three million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 359 380 475 718 950 1436 1795 1900 3590 6821 7180 8975 13642 17950 27284 29663 34105 35900 59326 68210 118652 136420 148315 170525 296630 341050 563597 593260 682100 741575 1127194 1483150 2254388 2817985 2966300 5635970 10649017 11271940 14089925 21298034 28179850 42596068 53245085 56359700 106490170 202331323 212980340 266225425 404662646 532450850 809325292 1011656615 1064901700 2023313230 4046626460 5058283075 10116566150 20233132300