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243223242000 = 2435352377509
BaseRepresentation
bin1110001010000100111…
…1000010010100010000
3212020210122102212210020
43202201033002110100
512441110122221000
6303422450103440
723400204305544
oct3424117022420
9766718385706
10243223242000
11941721a7702
123b17ab7ab80
1319c220ba20b
14bab47a7a24
1564d7deaba0
hex38a13c2510

243223242000 has 160 divisors (see below), whose sum is σ = 785661202560. Its totient is φ = 64734681600.

The previous prime is 243223241981. The next prime is 243223242001. The reversal of 243223242000 is 242322342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (243223242001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3099246 + ... + 3176754.

It is an arithmetic number, because the mean of its divisors is an integer number (4910382516).

Almost surely, 2243223242000 is an apocalyptic number.

243223242000 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 243223242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392830601280).

243223242000 is an abundant number, since it is smaller than the sum of its proper divisors (542437960560).

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

243223242000 is a wasteful number, since it uses less digits than its factorization.

243223242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78058 (or 78042 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 243223242000 its reverse (242322342), we get a palindrome (243465564342).

The spelling of 243223242000 in words is "two hundred forty-three billion, two hundred twenty-three million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 523 600 750 1000 1046 1200 1500 1569 2000 2092 2615 3000 3138 4184 5230 6000 6276 7845 8368 10460 12552 13075 15690 20920 25104 26150 31380 39225 41840 52300 62760 65375 77509 78450 104600 125520 130750 155018 156900 196125 209200 232527 261500 310036 313800 387545 392250 465054 523000 620072 627600 775090 784500 930108 1046000 1162635 1240144 1550180 1569000 1860216 1937725 2325270 3100360 3138000 3720432 3875450 4650540 5813175 6200720 7750900 9301080 9688625 11626350 15501800 18602160 19377250 23252700 29065875 31003600 38754500 40537207 46505400 58131750 77509000 81074414 93010800 116263500 121611621 155018000 162148828 202686035 232527000 243223242 324297656 405372070 465054000 486446484 608058105 648595312 810744140 972892968 1013430175 1216116210 1621488280 1945785936 2026860350 2432232420 3040290525 3242976560 4053720700 4864464840 5067150875 6080581050 8107441400 9728929680 10134301750 12161162100 15201452625 16214882800 20268603500 24322324200 30402905250 40537207000 48644648400 60805810500 81074414000 121611621000 243223242000