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222125440 = 275347071
BaseRepresentation
bin11010011110101…
…01110110000000
3120110222010211011
431033111312000
5423331003230
634012530304
75335015015
oct1517256600
9513863734
10222125440
11104425149
1262480994
1337032c94
142170170c
1514779e2a
hexd3d5d80

222125440 has 32 divisors (see below), whose sum is σ = 531020160. Its totient is φ = 88849920.

The previous prime is 222125429. The next prime is 222125443. The reversal of 222125440 is 44521222.

222125440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2221254402 = 98679422190387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222125443) 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, 172896 + ... + 174175.

It is an arithmetic number, because the mean of its divisors is an integer number (16594380).

Almost surely, 2222125440 is an apocalyptic number.

222125440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222125440 is an abundant number, since it is smaller than the sum of its proper divisors (308894720).

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

222125440 is an equidigital number, since it uses as much as digits as its factorization.

222125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347090 (or 347078 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 222125440 is about 14903.8733220596. The cubic root of 222125440 is about 605.6189190243.

Adding to 222125440 its reverse (44521222), we get a palindrome (266646662).

The spelling of 222125440 in words is "two hundred twenty-two million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 347071 694142 1388284 1735355 2776568 3470710 5553136 6941420 11106272 13882840 22212544 27765680 44425088 55531360 111062720 222125440