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221113000332 = 2232737149159157
BaseRepresentation
bin1100110111101101011…
…1001010000110001100
3210010201202010020011200
43031323113022012030
512110314412002312
6245324454545500
721655246330560
oct3157327120614
9703652106150
10221113000332
1185856584904
1236a2a368290
1317b0a479b93
14a9b812b6a0
155b41c930dc
hex337b5ca18c

221113000332 has 144 divisors (see below), whose sum is σ = 660442036800. Its totient is φ = 61054788096.

The previous prime is 221113000331. The next prime is 221113000393. The reversal of 221113000332 is 233000311122.

221113000332 is a `hidden beast` number, since 2 + 21 + 11 + 300 + 0 + 332 = 666.

It is a super-2 number, since 2×2211130003322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221113000331) 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, 1309698 + ... + 1468854.

Almost surely, 2221113000332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221113000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330221018400).

221113000332 is an abundant number, since it is smaller than the sum of its proper divisors (439329036468).

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

221113000332 is a wasteful number, since it uses less digits than its factorization.

221113000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159360 (or 159355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221113000332 its reverse (233000311122), we get a palindrome (454113311454).

The spelling of 221113000332 in words is "two hundred twenty-one billion, one hundred thirteen million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 149 222 252 259 298 333 444 447 518 596 666 777 894 1036 1043 1332 1341 1554 1788 2086 2331 2682 3108 3129 4172 4662 5364 5513 6258 9324 9387 11026 12516 16539 18774 22052 33078 37548 38591 49617 66156 77182 99234 115773 154364 159157 198468 231546 318314 347319 463092 477471 636628 694638 954942 1114099 1389276 1432413 1909884 2228198 2864826 3342297 4456396 5729652 5888809 6684594 10026891 11777618 13369188 17666427 20053782 23555236 23714393 35332854 40107564 41221663 47428786 52999281 70665708 71143179 82443326 94857572 105998562 123664989 142286358 164886652 166000751 211997124 213429537 247329978 284572716 332001502 370994967 426859074 494659956 498002253 664003004 741989934 853718148 877432541 996004506 1483979868 1494006759 1754865082 1992009012 2632297623 2988013518 3509730164 5264595246 5976027036 6142027787 7896892869 10529190492 12284055574 15793785738 18426083361 24568111148 31587571476 36852166722 55278250083 73704333444 110556500166 221113000332