Search a number
-
+
44211222 = 23211253383
BaseRepresentation
bin1010100010100…
…1110000010110
310002012011101200
42220221300112
542304224342
64215333330
71044534456
oct250516026
9102164350
1044211222
1122a57600
1212981246
13920c5b3
145c2bd66
153d3494c
hex2a29c16

44211222 has 72 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 13110240.

The previous prime is 44211217. The next prime is 44211229. The reversal of 44211222 is 22211244.

44211222 is a `hidden beast` number, since 442 + 1 + 1 + 222 = 666.

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 = 44211195 and 44211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44211229) by changing a digit.

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, 115243 + ... + 115625.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 244211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

44211222 is an abundant number, since it is smaller than the sum of its proper divisors (63346410).

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

44211222 is a wasteful number, since it uses less digits than its factorization.

44211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

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

The square root of 44211222 is about 6649.1519760042. The cubic root of 44211222 is about 353.5988465510.

Adding to 44211222 its reverse (22211244), we get a palindrome (66422466).

It can be divided in two parts, 442 and 11222, that added together give a square (11664 = 1082).

The spelling of 44211222 in words is "forty-four million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 363 383 477 583 726 766 954 1089 1149 1166 1749 2178 2298 3447 3498 4213 5247 6413 6894 8426 10494 12639 12826 19239 20299 25278 37917 38478 40598 46343 57717 60897 75834 92686 115434 121794 139029 182691 223289 278058 365382 417087 446578 669867 834174 1339734 2009601 2456179 4019202 4912358 7368537 14737074 22105611 44211222