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223012201231240 = 2351491213148920717
BaseRepresentation
bin110010101101010000010011…
…000010001111001110001000
31002020121202110202010121101121
4302231100103002033032020
5213212312442003344430
62110150220233525024
764655046146343331
oct6255202302171610
91066552422117347
10223012201231240
1165070a41751743
1221019312b73774
139758c63b32b65
143d0dbc33b9288
151abb0d48d8a7a
hexcad41308f388

223012201231240 has 128 divisors (see below), whose sum is σ = 505925479980000. Its totient is φ = 88469414166528.

The previous prime is 223012201231223. The next prime is 223012201231241. The reversal of 223012201231240 is 42132102210322.

It can be written as a sum of positive squares in 16 ways, for example, as 83485975088356 + 139526226142884 = 9137066^2 + 11812122^2 .

It is not an unprimeable number, because it can be changed into a prime (223012201231241) 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, 10764685362 + ... + 10764706078.

Almost surely, 2223012201231240 is an apocalyptic number.

223012201231240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223012201231240 is an abundant number, since it is smaller than the sum of its proper divisors (282913278748760).

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

223012201231240 is a wasteful number, since it uses less digits than its factorization.

223012201231240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23579 (or 23575 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 223012201231240 its reverse (42132102210322), we get a palindrome (265144303441562).

The spelling of 223012201231240 in words is "two hundred twenty-three trillion, twelve billion, two hundred one million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1213 1489 1490 2426 2978 2980 4852 5956 5960 6065 7445 9704 11912 12130 14890 20717 24260 29780 41434 48520 59560 82868 103585 165736 180737 207170 221861 361474 414340 443722 722948 828680 887444 903685 1109305 1445896 1774888 1806157 1807370 2218610 3086833 3612314 3614740 4437220 6173666 7224628 7229480 8874440 9030785 12347332 14449256 15434165 18061570 24694664 25129721 30847613 30868330 36123140 50259442 61695226 61736660 72246280 100518884 123390452 123473320 125648605 154238065 201037768 246780904 251297210 269117393 308476130 502594420 538234786 616952260 1005188840 1076469572 1233904520 1345586965 2152939144 2691173930 3744328429 4596294337 5382347860 7488656858 9192588674 10764695720 14977313716 18385177348 18721642145 22981471685 29954627432 36770354696 37418154569 37443284290 45962943370 74836309138 74886568580 91925886740 149672618276 149773137160 183851773480 187090772845 299345236552 374181545690 748363091380 1496726182760 5575305030781 11150610061562 22301220123124 27876525153905 44602440246248 55753050307810 111506100615620 223012201231240