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222135144 = 233711711693
BaseRepresentation
bin11010011110110…
…00001101101000
3120110222122010120
431033120031220
5423331311034
634013043240
75335055220
oct1517301550
9513878116
10222135144
11104431470
1262486520
133703751a
1421705080
151477cc49
hexd3d8368

222135144 has 128 divisors (see below), whose sum is σ = 702535680. Its totient is φ = 56851200.

The previous prime is 222135077. The next prime is 222135169. The reversal of 222135144 is 441531222.

222135144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130362 + ... + 132054.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2222135144 is an apocalyptic number.

222135144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222135144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351267840).

222135144 is an abundant number, since it is smaller than the sum of its proper divisors (480400536).

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

222135144 is a wasteful number, since it uses less digits than its factorization.

222135144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1787 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 222135144 is about 14904.1988714590. The cubic root of 222135144 is about 605.6277381258.

Adding to 222135144 its reverse (441531222), we get a palindrome (663666366).

The spelling of 222135144 in words is "two hundred twenty-two million, one hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 71 77 84 88 132 142 154 168 213 231 264 284 308 426 462 497 568 616 781 852 924 994 1491 1562 1693 1704 1848 1988 2343 2982 3124 3386 3976 4686 5079 5467 5964 6248 6772 9372 10158 10934 11851 11928 13544 16401 18623 18744 20316 21868 23702 32802 35553 37246 40632 43736 47404 55869 65604 71106 74492 94808 111738 120203 130361 131208 142212 148984 223476 240406 260722 284424 360609 391083 446952 480812 521444 721218 782166 841421 961624 1042888 1322233 1442436 1564332 1682842 2524263 2644466 2884872 3128664 3365684 3966699 5048526 5288932 6731368 7933398 9255631 10097052 10577864 15866796 18511262 20194104 27766893 31733592 37022524 55533786 74045048 111067572 222135144