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222233004020 = 22525743235993
BaseRepresentation
bin1100111011111000011…
…1101000011111110100
3210020121210121022101202
43032332013220133310
512120113122112040
6250031544312032
722025066236466
oct3167607503764
9706553538352
10222233004020
1186280812195
12370a1472618
1317c58512861
14aa82b96136
155baa27b015
hex33be1e87f4

222233004020 has 24 divisors (see below), whose sum is σ = 468505230984. Its totient is φ = 88547311616.

The previous prime is 222233003981. The next prime is 222233004053. The reversal of 222233004020 is 20400332222.

It can be written as a sum of positive squares in 4 ways, for example, as 100542263056 + 121690740964 = 317084^2 + 348842^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222233003983 and 222233004001.

It is a congruent number.

It is an unprimeable number.

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, 21612857 + ... + 21623136.

It is an arithmetic number, because the mean of its divisors is an integer number (19521051291).

Almost surely, 2222233004020 is an apocalyptic number.

222233004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222233004020 is an abundant number, since it is smaller than the sum of its proper divisors (246272226964).

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

222233004020 is a wasteful number, since it uses less digits than its factorization.

222233004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43236259 (or 43236257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 222233004020 its reverse (20400332222), we get a palindrome (242633336242).

The spelling of 222233004020 in words is "two hundred twenty-two billion, two hundred thirty-three million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 43235993 86471986 172943972 216179965 432359930 864719860 11111650201 22223300402 44446600804 55558251005 111116502010 222233004020