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23240413200 = 24352109177679
BaseRepresentation
bin10101101001001111…
…001001000000010000
32012222122221022111110
4111221033021000100
5340044021210300
614402042413320
71451630152464
oct255117110020
965878838443
1023240413200
119946675464
124607201240
132264b260b4
1411a67d04a4
1591049d550
hex5693c9010

23240413200 has 120 divisors (see below), whose sum is σ = 75130211200. Its totient is φ = 6140551680.

The previous prime is 23240413169. The next prime is 23240413237. The reversal of 23240413200 is 231404232.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41961 + ... + 219639.

Almost surely, 223240413200 is an apocalyptic number.

23240413200 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 23240413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37565105600).

23240413200 is an abundant number, since it is smaller than the sum of its proper divisors (51889798000).

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

23240413200 is a wasteful number, since it uses less digits than its factorization.

23240413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177809 (or 177798 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23240413200 its reverse (231404232), we get a palindrome (23471817432).

The spelling of 23240413200 in words is "twenty-three billion, two hundred forty million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 109 120 150 200 218 240 300 327 400 436 545 600 654 872 1090 1200 1308 1635 1744 2180 2616 2725 3270 4360 5232 5450 6540 8175 8720 10900 13080 16350 21800 26160 32700 43600 65400 130800 177679 355358 533037 710716 888395 1066074 1421432 1776790 2132148 2665185 2842864 3553580 4264296 4441975 5330370 7107160 8528592 8883950 10660740 13325925 14214320 17767900 19367011 21321480 26651850 35535800 38734022 42642960 53303700 58101033 71071600 77468044 96835055 106607400 116202066 154936088 193670110 213214800 232404132 290505165 309872176 387340220 464808264 484175275 581010330 774680440 929616528 968350550 1162020660 1452525825 1549360880 1936701100 2324041320 2905051650 3873402200 4648082640 5810103300 7746804400 11620206600 23240413200