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19880224 = 257136827
BaseRepresentation
bin100101111010…
…1100100100000
31101102000112121
41023311210200
520042131344
61550034024
7330656560
oct113654440
941360477
1019880224
1110249341
1267a8914
134170a60
1428d6da0
151b2a684
hex12f5920

19880224 has 48 divisors (see below), whose sum is σ = 48178368. Its totient is φ = 7863552.

The previous prime is 19880221. The next prime is 19880239. The reversal of 19880224 is 42208891.

It is a self number, because there is not a number n which added to its sum of digits gives 19880224.

It is not an unprimeable number, because it can be changed into a prime (19880221) 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 7 ways as a sum of consecutive naturals, for example, 502 + ... + 6325.

It is an arithmetic number, because the mean of its divisors is an integer number (1003716).

Almost surely, 219880224 is an apocalyptic number.

19880224 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 19880224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24089184).

19880224 is an abundant number, since it is smaller than the sum of its proper divisors (28298144).

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

19880224 is a wasteful number, since it uses less digits than its factorization.

19880224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 19880224 is about 4458.7244812839. The cubic root of 19880224 is about 270.8988061880.

The spelling of 19880224 in words is "nineteen million, eight hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 6827 13654 27308 47789 54616 88751 95578 109232 177502 191156 218464 355004 382312 621257 710008 764624 1242514 1420016 1529248 2485028 2840032 4970056 9940112 19880224