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19914216 = 23371131049
BaseRepresentation
bin100101111110…
…1110111101000
31101110202011120
41023331313220
520044223331
61550455240
7331160640
oct113756750
941422146
1019914216
1110271933
126804520
13418337a
142905520
151b35796
hex12fdde8

19914216 has 64 divisors (see below), whose sum is σ = 57456000. Its totient is φ = 5634048.

The previous prime is 19914187. The next prime is 19914217. The reversal of 19914216 is 61241991.

It is not an unprimeable number, because it can be changed into a prime (19914217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18460 + ... + 19508.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 219914216 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 19914216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

19914216 is an abundant number, since it is smaller than the sum of its proper divisors (37541784).

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

19914216 is a wasteful number, since it uses less digits than its factorization.

19914216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1174 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 19914216 is about 4462.5347057474. The cubic root of 19914216 is about 271.0531161346.

The spelling of 19914216 in words is "nineteen million, nine hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1049 1356 1582 2098 2373 2712 3147 3164 4196 4746 6294 6328 7343 8392 9492 12588 14686 18984 22029 25176 29372 44058 58744 88116 118537 176232 237074 355611 474148 711222 829759 948296 1422444 1659518 2489277 2844888 3319036 4978554 6638072 9957108 19914216