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221211114630 = 23511229272461
BaseRepresentation
bin1100111000000100110…
…1011011110010000110
3210010222120201221200120
43032001031123302012
512111020021132010
6245342321522410
721660550310232
oct3160115336206
9703876657616
10221211114630
11858a69a8600
1236a571a3406
1317b248b028c
14a9c718b5c2
155b4a6c3e70
hex338135bc86

221211114630 has 144 divisors (see below), whose sum is σ = 604383513552. Its totient is φ = 51777017600.

The previous prime is 221211114629. The next prime is 221211114697. The reversal of 221211114630 is 36411112122.

It is a self number, because there is not a number n which added to its sum of digits gives 221211114630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3016600 + ... + 3089060.

It is an arithmetic number, because the mean of its divisors is an integer number (4197107733).

Almost surely, 2221211114630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211114630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302191756776).

221211114630 is an abundant number, since it is smaller than the sum of its proper divisors (383172398922).

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

221211114630 is a wasteful number, since it uses less digits than its factorization.

221211114630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72551 (or 72511 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 221211114630 its reverse (36411112122), we get a palindrome (257622226752).

The spelling of 221211114630 in words is "two hundred twenty-one billion, two hundred eleven million, one hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 121 145 165 174 242 290 319 330 363 435 605 638 726 841 870 957 1210 1595 1682 1815 1914 2523 3190 3509 3630 4205 4785 5046 7018 8410 9251 9570 10527 12615 17545 18502 21054 25230 27753 35090 46255 52635 55506 72461 92510 101761 105270 138765 144922 203522 217383 277530 305283 362305 434766 508805 610566 724610 797071 1017610 1086915 1526415 1594142 2101369 2173830 2391213 3052830 3985355 4202738 4782426 6304107 7970710 8767781 10506845 11956065 12608214 17535562 21013690 23115059 23912130 26303343 31520535 43838905 46230118 52606686 60939701 63041070 69345177 87677810 115575295 121879402 131516715 138690354 182819103 231150590 254265649 263033430 304698505 346725885 365638206 508531298 609397010 670336711 693451770 762796947 914095515 1271328245 1340673422 1525593894 1828191030 2011010133 2542656490 3351683555 3813984735 4022020266 6703367110 7373703821 7627969470 10055050665 14747407642 20110101330 22121111463 36868519105 44242222926 73737038210 110605557315 221211114630