Search a number
-
+
222288444 = 223275091733
BaseRepresentation
bin11010011111111…
…01101000111100
3120111021102102100
431033331220330
5423401212234
634020225100
75336264160
oct1517755074
9514242370
10222288444
11104526664
126253b190
133708c231
1421744ca0
15147ad399
hexd3fda3c

222288444 has 72 divisors (see below), whose sum is σ = 643799520. Its totient is φ = 63349632.

The previous prime is 222288439. The next prime is 222288449. The reversal of 222288444 is 444882222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222288439) and next prime (222288449).

It is a super-2 number, since 2×2222884442 = 98824304671882272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222288399 and 222288408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222288449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127402 + ... + 129134.

It is an arithmetic number, because the mean of its divisors is an integer number (8941660).

Almost surely, 2222288444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222288444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321899760).

222288444 is an abundant number, since it is smaller than the sum of its proper divisors (421511076).

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

222288444 is a wasteful number, since it uses less digits than its factorization.

222288444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2254 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 222288444 is about 14909.3408304995. The cubic root of 222288444 is about 605.7670247799.

The spelling of 222288444 in words is "two hundred twenty-two million, two hundred eighty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 509 1018 1527 1733 2036 3054 3466 3563 4581 5199 6108 6932 7126 9162 10398 10689 12131 14252 15597 18324 20796 21378 24262 31194 32067 36393 42756 48524 62388 64134 72786 109179 128268 145572 218358 436716 882097 1764194 2646291 3528388 5292582 6174679 7938873 10585164 12349358 15877746 18524037 24698716 31755492 37048074 55572111 74096148 111144222 222288444