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221303303020 = 225232921178623
BaseRepresentation
bin1100111000011010110…
…1000110101101101100
3210011020000012121101101
43032012231012231230
512111212121144040
6245355413452444
721663050016112
oct3160655065554
9704200177341
10221303303020
1185943a44058
1236a82041124
1317b3aa1a317
14a9d5507ab2
155b5383409a
hex3386b46b6c

221303303020 has 96 divisors (see below), whose sum is σ = 504049029120. Its totient is φ = 81364335360.

The previous prime is 221303302949. The next prime is 221303303027. The reversal of 221303303020 is 20303303122.

It is a happy number.

It is a super-2 number, since 2×2213033030202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221303303027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775429 + ... + 2854051.

It is an arithmetic number, because the mean of its divisors is an integer number (5250510720).

Almost surely, 2221303303020 is an apocalyptic number.

221303303020 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 221303303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252024514560).

221303303020 is an abundant number, since it is smaller than the sum of its proper divisors (282745726100).

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

221303303020 is a wasteful number, since it uses less digits than its factorization.

221303303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78895 (or 78893 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 221303303020 its reverse (20303303122), we get a palindrome (241606606142).

The spelling of 221303303020 in words is "two hundred twenty-one billion, three hundred three million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 211 230 290 422 460 580 667 844 1055 1334 2110 2668 3335 4220 4853 6119 6670 9706 12238 13340 19412 24265 24476 30595 48530 61190 78623 97060 122380 140737 157246 281474 314492 393115 562948 703685 786230 1407370 1572460 1808329 2280067 2814740 3616658 4560134 7233316 9041645 9120268 11400335 16589453 18083290 22800670 33178906 36166580 45601340 52441541 66357812 82947265 104883082 165894530 209766164 262207705 331789060 381557419 481094137 524415410 763114838 962188274 1048830820 1526229676 1907787095 1924376548 2405470685 3815574190 4810941370 7631148380 9621882740 11065165151 22130330302 44260660604 55325825755 110651651510 221303303020