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1226454200240 = 24517312292539
BaseRepresentation
bin10001110110001110010…
…111011110111110110000
311100020200200221201111112
4101312032113132332300
5130043234233401430
62335231505532452
7154415451460163
oct21661627367660
94306620851445
101226454200240
114331554712a5
12179841044128
138b867198b29
1443509a91ada
1521d823ac195
hex11d8e5defb0

1226454200240 has 160 divisors (see below), whose sum is σ = 3033348264000. Its totient is φ = 461166538752.

The previous prime is 1226454200233. The next prime is 1226454200243. The reversal of 1226454200240 is 420024546221.

It is a junction number, because it is equal to n+sod(n) for n = 1226454200197 and 1226454200206.

It is not an unprimeable number, because it can be changed into a prime (1226454200243) 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, 483044891 + ... + 483047429.

It is an arithmetic number, because the mean of its divisors is an integer number (18958426650).

Almost surely, 21226454200240 is an apocalyptic number.

1226454200240 is a gapful number since it is divisible by the number (10) 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 1226454200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516674132000).

1226454200240 is an abundant number, since it is smaller than the sum of its proper divisors (1806894063760).

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

1226454200240 is a wasteful number, since it uses less digits than its factorization.

1226454200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 1226454200240 its reverse (420024546221), we get a palindrome (1646478746461).

The spelling of 1226454200240 in words is "one trillion, two hundred twenty-six billion, four hundred fifty-four million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1229 1360 1445 2312 2458 2539 2890 4624 4913 4916 5078 5780 6145 9826 9832 10156 11560 12290 12695 19652 19664 20312 20893 23120 24565 24580 25390 39304 40624 41786 43163 49130 49160 50780 78608 83572 86326 98260 98320 101560 104465 167144 172652 196520 203120 208930 215815 334288 345304 355181 393040 417860 431630 690608 710362 733771 835720 863260 1420724 1467542 1671440 1726520 1775905 2841448 2935084 3120431 3453040 3551810 3668855 5682896 5870168 6038077 6240862 7103620 7337710 11740336 12076154 12474107 12481724 14207240 14675420 15602155 24152308 24948214 24963448 28414480 29350840 30190385 31204310 48304616 49896428 49926896 53047327 58701680 60380770 62370535 62408620 96609232 99792856 106094654 120761540 124741070 124817240 199585712 212189308 241523080 249482140 249634480 265236635 424378616 483046160 498964280 530473270 848757232 901804559 997928560 1060946540 1803609118 2121893080 3607218236 4243786160 4509022795 7214436472 9018045590 14428872944 15330677503 18036091180 30661355006 36072182360 61322710012 72144364720 76653387515 122645420024 153306775030 245290840048 306613550060 613227100120 1226454200240