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221225003132144 = 241189102711375051
BaseRepresentation
bin110010010011001111110101…
…101110100010010011110000
31002000021220101211121101111212
4302103033311232202103300
5212444022301300212034
62102301210300055252
764411656544220444
oct6223176556422360
91060256354541455
10221225003132144
1164541aa6a42750
122098aa79b34528
139659574c1c65b
143c8b4c0d2a824
151a89883c012ce
hexc933f5ba24f0

221225003132144 has 80 divisors (see below), whose sum is σ = 472889403141120. Its totient is φ = 99417215040000.

The previous prime is 221225003132141. The next prime is 221225003132227. The reversal of 221225003132144 is 441231300522122.

It is a super-2 number, since 2×2212250031321442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221225003132144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221225003132141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160197419 + ... + 161572469.

It is an arithmetic number, because the mean of its divisors is an integer number (5911117539264).

Almost surely, 2221225003132144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221225003132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236444701570560).

221225003132144 is an abundant number, since it is smaller than the sum of its proper divisors (251664400008976).

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

221225003132144 is a wasteful number, since it uses less digits than its factorization.

221225003132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385430 (or 1385424 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 221225003132144 its reverse (441231300522122), we get a palindrome (662456303654266).

The spelling of 221225003132144 in words is "two hundred twenty-one trillion, two hundred twenty-five billion, three million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 89 176 178 356 712 979 1424 1958 3916 7832 10271 15664 20542 41084 82168 112981 164336 225962 451924 903848 914119 1375051 1807696 1828238 2750102 3656476 5500204 7312952 10055309 11000408 14625904 15125561 20110618 22000816 30251122 40221236 60502244 80442472 121004488 122379539 160884944 242008976 244759078 489518156 979036312 1346174929 1958072624 2692349858 5384699716 10769399432 14123148821 21538798864 28246297642 56492595284 112985190568 155354637031 225970381136 310709274062 621418548124 1242837096248 1256960245069 2485674192496 2513920490138 5027840980276 10055681960552 13826562695759 20111363921104 27653125391518 55306250783036 110612501566072 221225003132144