Search a number
-
+
19222224 = 2437193011
BaseRepresentation
bin100100101010…
…0111011010000
31100011120221020
41021110323100
514410102344
61523555440
7322246320
oct111247320
940146836
1019222224
11a939a3a
12652bb80
133ca03c8
1427a5280
151a4a719
hex1254ed0

19222224 has 80 divisors (see below), whose sum is σ = 59758080. Its totient is φ = 5201280.

The previous prime is 19222211. The next prime is 19222249. The reversal of 19222224 is 42222291.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 19222194 and 19222203.

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, 4879 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (746976).

Almost surely, 219222224 is an apocalyptic number.

19222224 is a gapful number since it is divisible by the number (14) 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 19222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29879040).

19222224 is an abundant number, since it is smaller than the sum of its proper divisors (40535856).

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

19222224 is a wasteful number, since it uses less digits than its factorization.

19222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3042 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 19222224 is about 4384.3156820649. The cubic root of 19222224 is about 267.8764560144.

The spelling of 19222224 in words is "nineteen million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3011 3192 6022 6384 9033 12044 18066 21077 24088 36132 42154 48176 57209 63231 72264 84308 114418 126462 144528 168616 171627 228836 252924 337232 343254 400463 457672 505848 686508 800926 915344 1011696 1201389 1373016 1601852 2402778 2746032 3203704 4805556 6407408 9611112 19222224