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19116216 = 2333747269
BaseRepresentation
bin100100011101…
…1000010111000
31022222012112000
41020323002320
514343204331
61521421000
7321325260
oct110730270
938865460
1019116216
11a877329
12649a760
133c64092
1427787a0
151a290e6
hex123b0b8

19116216 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 5325696.

The previous prime is 19116203. The next prime is 19116217. The reversal of 19116216 is 61261191.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 19116216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19116217) 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 31 ways as a sum of consecutive naturals, for example, 70930 + ... + 71198.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 219116216 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 19116216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

19116216 is an abundant number, since it is smaller than the sum of its proper divisors (43091784).

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

19116216 is a wasteful number, since it uses less digits than its factorization.

19116216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 19116216 is about 4372.2095100761. The cubic root of 19116216 is about 267.3831136927.

The spelling of 19116216 in words is "nineteen million, one hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 269 282 329 376 378 423 504 538 564 658 756 807 846 987 1076 1128 1269 1316 1512 1614 1692 1883 1974 2152 2421 2538 2632 2961 3228 3384 3766 3948 4842 5076 5649 5922 6456 7263 7532 7896 8883 9684 10152 11298 11844 12643 14526 15064 16947 17766 19368 22596 23688 25286 29052 33894 35532 37929 45192 50572 50841 58104 67788 71064 75858 88501 101144 101682 113787 135576 151716 177002 203364 227574 265503 303432 341361 354004 406728 455148 531006 682722 708008 796509 910296 1062012 1365444 1593018 2124024 2389527 2730888 3186036 4779054 6372072 9558108 19116216