Search a number
-
+
221301141240 = 23354761963389
BaseRepresentation
bin1100111000011010010…
…0110110111011111000
3210011012212010202222110
43032012210312323320
512111211043004430
6245355255252320
721663022443414
oct3160644667370
9704185122873
10221301141240
11859427a7963
1236a8137a0a0
1317b3a44136a
14a9d5103d44
155b535587b0
hex3386936ef8

221301141240 has 128 divisors (see below), whose sum is σ = 679135104000. Its totient is φ = 57663810048.

The previous prime is 221301141209. The next prime is 221301141301. The reversal of 221301141240 is 42141103122.

It is a super-2 number, since 2×2213011412402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459466 + ... + 3522854.

It is an arithmetic number, because the mean of its divisors is an integer number (5305743000).

Almost surely, 2221301141240 is an apocalyptic number.

221301141240 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 221301141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339567552000).

221301141240 is an abundant number, since it is smaller than the sum of its proper divisors (457833962760).

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

221301141240 is a wasteful number, since it uses less digits than its factorization.

221301141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64069 (or 64065 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 221301141240 its reverse (42141103122), we get a palindrome (263442244362).

The spelling of 221301141240 in words is "two hundred twenty-one billion, three hundred one million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 619 705 940 1128 1238 1410 1857 1880 2476 2820 3095 3714 4952 5640 6190 7428 9285 12380 14856 18570 24760 29093 37140 58186 63389 74280 87279 116372 126778 145465 174558 190167 232744 253556 290930 316945 349116 380334 436395 507112 581860 633890 698232 760668 872790 950835 1163720 1267780 1521336 1745580 1901670 2535560 2979283 3491160 3803340 5958566 7606680 8937849 11917132 14896415 17875698 23834264 29792830 35751396 39237791 44689245 59585660 71502792 78475582 89378490 117713373 119171320 156951164 178756980 196188955 235426746 313902328 357513960 392377910 470853492 588566865 784755820 941706984 1177133730 1569511640 1844176177 2354267460 3688352354 4708534920 5532528531 7376704708 9220880885 11065057062 14753409416 18441761770 22130114124 27662642655 36883523540 44260228248 55325285310 73767047080 110650570620 221301141240