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222113203220 = 225127293298451
BaseRepresentation
bin1100111011011011111…
…0101000010000010100
3210020022110011210121002
43032312332220100110
512114341440000340
6250012024442432
722022113035146
oct3166676502024
9706273153532
10222113203220
118621a127067
1237069319418
1317c397584cc
14aa70cccc96
155b9e9b4715
hex33b6fa8414

222113203220 has 48 divisors (see below), whose sum is σ = 471716517888. Its totient is φ = 87844579200.

The previous prime is 222113203201. The next prime is 222113203223. The reversal of 222113203220 is 22302311222.

It is a happy number.

222113203220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 222113203192 and 222113203201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222113203223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594995 + ... + 893445.

It is an arithmetic number, because the mean of its divisors is an integer number (9827427456).

Almost surely, 2222113203220 is an apocalyptic number.

222113203220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222113203220 is an abundant number, since it is smaller than the sum of its proper divisors (249603314668).

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

222113203220 is a wasteful number, since it uses less digits than its factorization.

222113203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298880 (or 298878 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 222113203220 its reverse (22302311222), we get a palindrome (244415514442).

The spelling of 222113203220 in words is "two hundred twenty-two billion, one hundred thirteen million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 127 254 293 508 586 635 1172 1270 1465 2540 2930 5860 37211 74422 148844 186055 298451 372110 596902 744220 1193804 1492255 2984510 5969020 37903277 75806554 87446143 151613108 174892286 189516385 349784572 379032770 437230715 758065540 874461430 1748922860 11105660161 22211320322 44422640644 55528300805 111056601610 222113203220