Search a number
-
+
23031423200 = 2552178771931
BaseRepresentation
bin10101011100110001…
…111010000011100000
32012110002200112010002
4111130301322003200
5334132021020300
614325215155132
71443511603262
oct253461720340
965402615102
1023031423200
119849702155
124569215aa8
132230741b86
141186b4bb32
158ebe6a5d5
hex55cc7a0e0

23031423200 has 144 divisors (see below), whose sum is σ = 59631589584. Its totient is φ = 8656281600.

The previous prime is 23031423157. The next prime is 23031423227. The reversal of 23031423200 is 232413032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 11926235 + ... + 11928165.

It is an arithmetic number, because the mean of its divisors is an integer number (414108261).

Almost surely, 223031423200 is an apocalyptic number.

23031423200 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 23031423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29815794792).

23031423200 is an abundant number, since it is smaller than the sum of its proper divisors (36600166384).

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

23031423200 is a wasteful number, since it uses less digits than its factorization.

23031423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23031423200 its reverse (232413032), we get a palindrome (23263836232).

The spelling of 23031423200 in words is "twenty-three billion, thirty-one million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 877 1360 1700 1754 1931 2720 3400 3508 3862 4385 6800 7016 7724 8770 9655 13600 14032 14909 15448 17540 19310 21925 28064 29818 30896 32827 35080 38620 43850 48275 59636 61792 65654 70160 74545 77240 87700 96550 119272 131308 140320 149090 154480 164135 175400 193100 238544 262616 298180 308960 328270 350800 372725 386200 477088 525232 596360 656540 701600 745450 772400 820675 1050464 1192720 1313080 1490900 1544800 1641350 1693487 2385440 2626160 2981800 3282700 3386974 5252320 5963600 6565400 6773948 8467435 11927200 13130800 13547896 16934870 26261600 27095792 28789279 33869740 42337175 54191584 57578558 67739480 84674350 115157116 135478960 143946395 169348700 230314232 270957920 287892790 338697400 460628464 575785580 677394800 719731975 921256928 1151571160 1354789600 1439463950 2303142320 2878927900 4606284640 5757855800 11515711600 23031423200