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221313104436 = 223174158745077
BaseRepresentation
bin1100111000011101001…
…0011111101000110100
3210011020200122120101210
43032013102133220310
512111222123320221
6245400403521420
721663226230504
oct3160722375064
9704220576353
10221313104436
1185949528aa6
1236a85389270
1317b3ca6c688
14a9d6939a04
155b5461d276
hex338749fa34

221313104436 has 96 divisors (see below), whose sum is σ = 561076129152. Its totient is φ = 67621212160.

The previous prime is 221313104417. The next prime is 221313104461. The reversal of 221313104436 is 634401313122.

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, 4887130 + ... + 4932206.

It is an arithmetic number, because the mean of its divisors is an integer number (5844543012).

Almost surely, 2221313104436 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 221313104436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280538064576).

221313104436 is an abundant number, since it is smaller than the sum of its proper divisors (339763024716).

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

221313104436 is a wasteful number, since it uses less digits than its factorization.

221313104436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45729 (or 45727 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 221313104436 its reverse (634401313122), we get a palindrome (855714417558).

The spelling of 221313104436 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 587 697 1174 1394 1761 2091 2348 2788 3522 4182 7044 8364 9979 19958 24067 29937 39916 45077 48134 59874 72201 90154 96268 119748 135231 144402 180308 270462 288804 409139 540924 766309 818278 1227417 1532618 1636556 1848157 2298927 2454834 3065236 3696314 4597854 4909668 5544471 7392628 9195708 11088942 22177884 26460199 31418669 52920398 62837338 79380597 94256007 105840796 125674676 158761194 188512014 317522388 377024028 449823383 899646766 1084868159 1349470149 1799293532 2169736318 2698940298 3254604477 4339472636 5397880596 6509208954 13018417908 18442758703 36885517406 55328276109 73771034812 110656552218 221313104436