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221221033000 = 23531121828273
BaseRepresentation
bin1100111000000111001…
…1010001010000101000
3210011000021101212010121
43032001303101100220
512111030041024000
6245343314253024
721661030516612
oct3160163212050
9704007355117
10221221033000
1185901562400
1236a5a587174
1317b26973936
14a9c860ddb2
155b4b4d2b1a
hex3381cd1428

221221033000 has 96 divisors (see below), whose sum is σ = 568995434280. Its totient is φ = 80443968000.

The previous prime is 221221032961. The next prime is 221221033049. The reversal of 221221033000 is 330122122.

It can be written as a sum of positive squares in 4 ways, for example, as 96401556196 + 124819476804 = 310486^2 + 353298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793137 + ... + 1035136.

Almost surely, 2221221033000 is an apocalyptic number.

221221033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221033000 is an abundant number, since it is smaller than the sum of its proper divisors (347774401280).

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

221221033000 is a wasteful number, since it uses less digits than its factorization.

221221033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828316 (or 1828291 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221221033000 its reverse (330122122), we get a palindrome (221551155122).

The spelling of 221221033000 in words is "two hundred twenty-one billion, two hundred twenty-one million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 1828273 3656546 7313092 9141365 14626184 18282730 20111003 36565460 40222006 45706825 73130920 80444012 91413650 100555015 160888024 182827300 201110030 221221033 228534125 365654600 402220060 442442066 457068250 502775075 804440120 884884132 914136500 1005550150 1106105165 1769768264 1828273000 2011100300 2212210330 2513875375 4022200600 4424420660 5027750750 5530525825 8848841320 10055501500 11061051650 20111003000 22122103300 27652629125 44244206600 55305258250 110610516500 221221033000