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222221100020 = 22528139541121
BaseRepresentation
bin1100111011110101101…
…0001110001111110100
3210020120222012112011212
43032331122032033310
512120102100200040
6250030441220552
722024563120113
oct3167532161764
9706528175155
10222221100020
1186275021577
1237099491758
1317c55c0547a
14aa81377c7a
155ba91c8d65
hex33bd68e3f4

222221100020 has 24 divisors (see below), whose sum is σ = 468325048968. Its totient is φ = 88572108800.

The previous prime is 222221100001. The next prime is 222221100029. The reversal of 222221100020 is 20001122222.

It can be written as a sum of positive squares in 4 ways, for example, as 67518904336 + 154702195684 = 259844^2 + 393322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222221099968 and 222221100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222221100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19764941 + ... + 19776180.

It is an arithmetic number, because the mean of its divisors is an integer number (19513543707).

Almost surely, 2222221100020 is an apocalyptic number.

222221100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222221100020 is an abundant number, since it is smaller than the sum of its proper divisors (246103948948).

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

222221100020 is a wasteful number, since it uses less digits than its factorization.

222221100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39541411 (or 39541409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222221100020 its reverse (20001122222), we get a palindrome (242222222242).

The spelling of 222221100020 in words is "two hundred twenty-two billion, two hundred twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 2810 5620 39541121 79082242 158164484 197705605 395411210 790822420 11111055001 22222110002 44444220004 55555275005 111110550010 222221100020