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19144224 = 2532116043
BaseRepresentation
bin100100100000…
…1111000100000
31100000121221100
41021001320200
514400103344
61522154400
7321503031
oct111017040
940017840
1019144224
11a896380
1264b2a00
133c73a58
142784a88
151a32569
hex1241e20

19144224 has 72 divisors (see below), whose sum is σ = 59400432. Its totient is φ = 5800320.

The previous prime is 19144219. The next prime is 19144231. The reversal of 19144224 is 42244191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 6189.

It is an arithmetic number, because the mean of its divisors is an integer number (825006).

Almost surely, 219144224 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 19144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29700216).

19144224 is an abundant number, since it is smaller than the sum of its proper divisors (40256208).

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

19144224 is a wasteful number, since it uses less digits than its factorization.

19144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6059 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 19144224 is about 4375.4112949527. The cubic root of 19144224 is about 267.5136348481.

The spelling of 19144224 in words is "nineteen million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6043 12086 18129 24172 36258 48344 54387 66473 72516 96688 108774 132946 145032 193376 199419 217548 265892 290064 398838 435096 531784 580128 598257 797676 870192 1063568 1196514 1595352 1740384 2127136 2393028 3190704 4786056 6381408 9572112 19144224