Search a number
-
+
222304050 = 232524112049
BaseRepresentation
bin11010100000000…
…01011100110010
3120111022012211100
431100001130302
5423402212200
634020425230
75336360523
oct1520013462
9514265740
10222304050
11104537361
1262548216
1337096377
142174a84a
15147b2d00
hexd401732

222304050 has 72 divisors (see below), whose sum is σ = 611874900. Its totient is φ = 57830400.

The previous prime is 222304037. The next prime is 222304063. The reversal of 222304050 is 50403222.

It is an interprime number because it is at equal distance from previous prime (222304037) and next prime (222304063).

It can be written as a sum of positive squares in 6 ways, for example, as 43520409 + 178783641 = 6597^2 + 13371^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12426 + ... + 24474.

Almost surely, 2222304050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222304050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305937450).

222304050 is an abundant number, since it is smaller than the sum of its proper divisors (389570850).

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

222304050 is a wasteful number, since it uses less digits than its factorization.

222304050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 222304050 is about 14909.8641844921. The cubic root of 222304050 is about 605.7812006240.

Adding to 222304050 its reverse (50403222), we get a palindrome (272707272).

The spelling of 222304050 in words is "two hundred twenty-two million, three hundred four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 9225 12049 18450 24098 36147 60245 72294 108441 120490 180735 216882 301225 361470 494009 542205 602450 903675 988018 1084410 1482027 1807350 2470045 2711025 2964054 4446081 4940090 5422050 7410135 8892162 12350225 14820270 22230405 24700450 37050675 44460810 74101350 111152025 222304050