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19016144 = 247315477
BaseRepresentation
bin100100010001…
…0100111010000
31022210010020122
41020202213100
514332004034
61515325412
7320430440
oct110424720
938703218
1019016144
11a809124
126450868
133c2a674
142750120
151a0962e
hex12229d0

19016144 has 40 divisors (see below), whose sum is σ = 43473408. Its totient is φ = 7885440.

The previous prime is 19016119. The next prime is 19016159. The reversal of 19016144 is 44161091.

It is a super-2 number, since 2×190161442 = 723227465257472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734 + ... + 6210.

Almost surely, 219016144 is an apocalyptic number.

19016144 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 19016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21736704).

19016144 is an abundant number, since it is smaller than the sum of its proper divisors (24457264).

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

19016144 is a wasteful number, since it uses less digits than its factorization.

19016144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 19016144 is about 4360.7503941409. The cubic root of 19016144 is about 266.9157201018.

The spelling of 19016144 in words is "nineteen million, sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 5477 10954 21908 38339 43816 76678 87632 153356 169787 306712 339574 613424 679148 1188509 1358296 2377018 2716592 4754036 9508072 19016144