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222313320 = 23325617537
BaseRepresentation
bin11010100000000…
…11101101101000
3120111022200112200
431100003231220
5423403011240
634020540200
75336426535
oct1520035550
9514280480
10222313320
11104543319
1262551660
133709a658
142174dd8c
15147b5930
hexd403b68

222313320 has 48 divisors (see below), whose sum is σ = 722519460. Its totient is φ = 59283456.

The previous prime is 222313291. The next prime is 222313339. The reversal of 222313320 is 23313222.

It is a happy number.

222313320 is digitally balanced in base 3, 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 221235876 + 1077444 = 14874^2 + 1038^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222313293 and 222313302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308409 + ... + 309128.

Almost surely, 2222313320 is an apocalyptic number.

222313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222313320 is an abundant number, since it is smaller than the sum of its proper divisors (500206140).

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

222313320 is a wasteful number, since it uses less digits than its factorization.

222313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617554 (or 617547 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 222313320 is about 14910.1750492742. The cubic root of 222313320 is about 605.7896207940.

Adding to 222313320 its reverse (23313222), we get a palindrome (245626542).

It can be divided in two parts, 2223 and 13320, that multiplied together give a triangular number (29610360 = T7695).

The spelling of 222313320 in words is "two hundred twenty-two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 617537 1235074 1852611 2470148 3087685 3705222 4940296 5557833 6175370 7410444 9263055 11115666 12350740 14820888 18526110 22231332 24701480 27789165 37052220 44462664 55578330 74104440 111156660 222313320