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228270411268350 = 235211642121545819
BaseRepresentation
bin110011111001110001011000…
…110001101100000011111110
31002221020102211102222200120120
4303321301120301230003332
5214404440300241041400
62125253551303355410
766036664406245503
oct6371613061540376
91087212742880516
10228270411268350
1166808a35188890
1221728402a52b66
139a4aa65b88b19
1440524bdab34aa
151b5cc85aacca0
hexcf9c58c6c0fe

228270411268350 has 96 divisors (see below), whose sum is σ = 617671430962560. Its totient is φ = 55329660624000.

The previous prime is 228270411268307. The next prime is 228270411268351. The reversal of 228270411268350 is 53862114072822.

It is a junction number, because it is equal to n+sod(n) for n = 228270411268293 and 228270411268302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228270411268351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178260 + ... + 21367559.

It is an arithmetic number, because the mean of its divisors is an integer number (6434077405860).

Almost surely, 2228270411268350 is an apocalyptic number.

228270411268350 is an abundant number, since it is smaller than the sum of its proper divisors (389401019694210).

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

228270411268350 is a wasteful number, since it uses less digits than its factorization.

228270411268350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21552266 (or 21552261 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 228270411268350 in words is "two hundred twenty-eight trillion, two hundred seventy billion, four hundred eleven million, two hundred sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 6421 12842 19263 32105 38526 64210 70631 96315 141262 160525 192630 211893 321050 353155 423786 481575 706310 963150 1059465 1765775 2118930 3531550 5297325 10594650 21545819 43091638 64637457 107729095 129274914 215458190 237004009 323187285 474008018 538645475 646374570 711012027 1077290950 1185020045 1422024054 1615936425 2370040090 3231872850 3555060135 5925100225 7110120270 11850200450 17775300675 35550601350 138345703799 276691407598 415037111397 691728518995 830074222794 1383457037990 1521802741789 2075185556985 3043605483578 3458642594975 4150371113970 4565408225367 6917285189950 7609013708945 9130816450734 10375927784925 15218027417890 20751855569850 22827041126835 38045068544725 45654082253670 76090137089450 114135205634175 228270411268350