Search a number
-
+
221411602670300 = 225272936559298339
BaseRepresentation
bin110010010101111101100111…
…111011010010001011011100
31002000221202001021120002011122
4302111331213323102023130
5213010101430240422200
62102523030331510112
764431313630142540
oct6225754773221334
91060852037502148
10221411602670300
1164604151578599
12209bb0758b8338
139671041bc6263
143c965433dba20
151a8e6559bd385
hexc95f67ed22dc

221411602670300 has 144 divisors (see below), whose sum is σ = 568052725632000. Its totient is φ = 73292624858880.

The previous prime is 221411602670201. The next prime is 221411602670399. The reversal of 221411602670300 is 3076206114122.

It is an interprime number because it is at equal distance from previous prime (221411602670201) and next prime (221411602670399).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741998531 + ... + 742296869.

Almost surely, 2221411602670300 is an apocalyptic number.

221411602670300 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 221411602670300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284026362816000).

221411602670300 is an abundant number, since it is smaller than the sum of its proper divisors (346641122961700).

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

221411602670300 is a wasteful number, since it uses less digits than its factorization.

221411602670300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334948 (or 334941 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

Adding to 221411602670300 its reverse (3076206114122), we get a palindrome (224487808784422).

The spelling of 221411602670300 in words is "two hundred twenty-one trillion, four hundred eleven billion, six hundred two million, six hundred seventy thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 36559 73118 146236 182795 255913 298339 365590 511826 596678 731180 913975 1023652 1060211 1193356 1279565 1491695 1827950 2088373 2120422 2559130 2983390 3655900 4176746 4240844 5118260 5301055 5966780 6397825 7421477 7458475 8353492 8651831 10441865 10602110 12795650 14842954 14916950 17303662 20883730 21204220 25591300 26505275 29685908 29833900 34607324 37107385 41767460 43259155 52209325 53010550 60562817 74214770 86518310 104418650 106021100 121125634 148429540 173036620 185536925 208837300 216295775 242251268 302814085 371073850 432591550 605628170 742147700 865183100 1211256340 1514070425 3028140850 6056281700 10906975501 21813951002 43627902004 54534877505 76348828507 109069755010 152697657014 218139510020 272674387525 305395314028 316302289529 381744142535 545348775050 632604579058 763488285070 1090697550100 1265209158116 1526976570140 1581511447645 1908720712675 2214116026703 3163022895290 3817441425350 4428232053406 6326045790580 7634882850700 7907557238225 8856464106812 11070580133515 15815114476450 22141160267030 31630228952900 44282320534060 55352900667575 110705801335150 221411602670300