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222024302021440 = 265693825943817
BaseRepresentation
bin110010011110111000001111…
…101001110100101101000000
31002010010022112100111000102101
4302132320033221310231000
5213100121232304141230
62104112320053200144
764523504115534112
oct6236701751645500
91063108470430371
10222024302021440
116481aa83369606
1220a99969630054
1396b6a5685b209
143cb80681093b2
151aa05656a1aca
hexc9ee0fa74b40

222024302021440 has 28 divisors (see below), whose sum is σ = 528695369189316. Its totient is φ = 88809720808448.

The previous prime is 222024302021413. The next prime is 222024302021449. The reversal of 222024302021440 is 44120203420222.

It is a happy number.

222024302021440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 69654113577216 + 152370188444224 = 8345904^2 + 12343832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222024302021399 and 222024302021408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222024302021449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346912971589 + ... + 346912972228.

It is an arithmetic number, because the mean of its divisors is an integer number (18881977471047).

Almost surely, 2222024302021440 is an apocalyptic number.

222024302021440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222024302021440 is an abundant number, since it is smaller than the sum of its proper divisors (306671067167876).

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

222024302021440 is an equidigital number, since it uses as much as digits as its factorization.

222024302021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693825943834 (or 693825943824 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 222024302021440 its reverse (44120203420222), we get a palindrome (266144505441662).

The spelling of 222024302021440 in words is "two hundred twenty-two trillion, twenty-four billion, three hundred two million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 693825943817 1387651887634 2775303775268 3469129719085 5550607550536 6938259438170 11101215101072 13876518876340 22202430202144 27753037752680 44404860404288 55506075505360 111012151010720 222024302021440