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222201144 = 23351110391
BaseRepresentation
bin11010011111010…
…00010100111000
3120111002222200000
431033220110320
5423340414034
634014313000
75335451514
oct1517502470
9514088600
10222201144
11104477010
12624b8760
133705b589
1421721144
1514792599
hexd3e8538

222201144 has 96 divisors (see below), whose sum is σ = 680883840. Its totient is φ = 67327200.

The previous prime is 222201127. The next prime is 222201157. The reversal of 222201144 is 441102222.

222201144 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16189 + ... + 26579.

It is an arithmetic number, because the mean of its divisors is an integer number (7092540).

Almost surely, 2222201144 is an apocalyptic number.

222201144 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 222201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340441920).

222201144 is an abundant number, since it is smaller than the sum of its proper divisors (458682696).

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

222201144 is a wasteful number, since it uses less digits than its factorization.

222201144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10423 (or 10407 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 222201144 is about 14906.4128481671. The cubic root of 222201144 is about 605.6877128360.

Adding to 222201144 its reverse (441102222), we get a palindrome (663303366).

The spelling of 222201144 in words is "two hundred twenty-two million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 7128 10391 10692 20782 21384 31173 41564 62346 83128 93519 114301 124692 187038 228602 249384 280557 342903 374076 457204 561114 685806 748152 841671 914408 1028709 1122228 1371612 1683342 2057418 2244456 2525013 2743224 3086127 3366684 4114836 5050026 6172254 6733368 8229672 9258381 10100052 12344508 18516762 20200104 24689016 27775143 37033524 55550286 74067048 111100572 222201144