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19414122 = 2371331237
BaseRepresentation
bin100101000001…
…1110001101010
31100112100011120
41022003301222
514432222442
61532040110
7324005640
oct112036152
940470146
1019414122
11aa60132
126603036
134039860
142815190
151a874ec
hex1283c6a

19414122 has 96 divisors (see below), whose sum is σ = 50714496. Its totient is φ = 4821120.

The previous prime is 19414117. The next prime is 19414141. The reversal of 19414122 is 22141491.

It is a junction number, because it is equal to n+sod(n) for n = 19414092 and 19414101.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 524688 + ... + 524724.

It is an arithmetic number, because the mean of its divisors is an integer number (528276).

Almost surely, 219414122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19414122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25357248).

19414122 is an abundant number, since it is smaller than the sum of its proper divisors (31300374).

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

19414122 is a wasteful number, since it uses less digits than its factorization.

19414122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 19414122 is about 4406.1459349413. The cubic root of 19414122 is about 268.7649213277.

The spelling of 19414122 in words is "nineteen million, four hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 37 39 42 62 74 78 91 93 111 182 186 217 222 259 273 403 434 481 518 546 651 777 806 961 962 1147 1209 1302 1443 1554 1922 2294 2418 2821 2883 2886 3367 3441 5642 5766 6727 6734 6882 8029 8463 10101 12493 13454 14911 16058 16926 20181 20202 24087 24986 29822 35557 37479 40362 44733 48174 71114 74958 87451 89466 104377 106671 174902 208754 213342 248899 262353 313131 462241 497798 524706 626262 746697 924482 1386723 1493394 2773446 3235687 6471374 9707061 19414122