Search a number
-
+
22051224 = 2333137853
BaseRepresentation
bin101010000011…
…1100110011000
31112111022121000
41110013212120
521121114344
62104345000
7355301166
oct124074630
945438530
1022051224
11114a1458
127475160
134750c80
142d00236
151e08a69
hex1507998

22051224 has 64 divisors (see below), whose sum is σ = 65973600. Its totient is φ = 6784128.

The previous prime is 22051219. The next prime is 22051231. The reversal of 22051224 is 42215022.

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 = 22051197 and 22051206.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1119 + ... + 6734.

Almost surely, 222051224 is an apocalyptic number.

22051224 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 22051224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32986800).

22051224 is an abundant number, since it is smaller than the sum of its proper divisors (43922376).

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

22051224 is a wasteful number, since it uses less digits than its factorization.

22051224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7881 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22051224 is about 4695.8730817602. The cubic root of 22051224 is about 280.4212367149.

Adding to 22051224 its reverse (42215022), we get a palindrome (64266246).

The spelling of 22051224 in words is "twenty-two million, fifty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 7853 15706 23559 31412 47118 62824 70677 94236 102089 141354 188472 204178 212031 282708 306267 408356 424062 565416 612534 816712 848124 918801 1225068 1696248 1837602 2450136 2756403 3675204 5512806 7350408 11025612 22051224