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225223320444 = 223127147784331
BaseRepresentation
bin1101000111000001011…
…0110010001101111100
3210112100012102010100220
43101300112302031330
512142224132223234
6251244405221340
722162146431253
oct3216026621574
9715305363326
10225223320444
1187575769181
1237796a01850
1318313bb6565
14ac87d9b79a
155cd2a5aa49
hex34705b237c

225223320444 has 24 divisors (see below), whose sum is σ = 529659045888. Its totient is φ = 74483302320.

The previous prime is 225223320419. The next prime is 225223320503. The reversal of 225223320444 is 444023322522.

225223320444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 73890642 + ... + 73893689.

It is an arithmetic number, because the mean of its divisors is an integer number (22069126912).

Almost surely, 2225223320444 is an apocalyptic number.

It is an amenable number.

225223320444 is an abundant number, since it is smaller than the sum of its proper divisors (304435725444).

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

225223320444 is a wasteful number, since it uses less digits than its factorization.

225223320444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147784465 (or 147784463 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 225223320444 its reverse (444023322522), we get a palindrome (669246642966).

The spelling of 225223320444 in words is "two hundred twenty-five billion, two hundred twenty-three million, three hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 147784331 295568662 443352993 591137324 886705986 1773411972 18768610037 37537220074 56305830111 75074440148 112611660222 225223320444