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104194224 = 243217311373
BaseRepresentation
bin1100011010111…
…10000010110000
321021001121121100
412031132002300
5203133203344
614201124400
72403431151
oct615360260
9237047540
10104194224
11538a6732
122aa89700
13187818b4
14dba3928
159232569
hex635e0b0

104194224 has 120 divisors (see below), whose sum is σ = 318943872. Its totient is φ = 31610880.

The previous prime is 104194219. The next prime is 104194231. The reversal of 104194224 is 422491401.

104194224 = 1372 + 1382 + ... + 6802.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75202 + ... + 76574.

Almost surely, 2104194224 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 104194224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159471936).

104194224 is an abundant number, since it is smaller than the sum of its proper divisors (214749648).

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

104194224 is a wasteful number, since it uses less digits than its factorization.

104194224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104194224 is about 10207.5572004275. The cubic root of 104194224 is about 470.5595026918.

The spelling of 104194224 in words is "one hundred four million, one hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1373 1488 1581 2108 2232 2448 2746 3162 4119 4216 4464 4743 5492 6324 8238 8432 9486 10984 12357 12648 16476 18972 21968 23341 24714 25296 32952 37944 42563 46682 49428 65904 70023 75888 85126 93364 98856 127689 140046 170252 186728 197712 210069 255378 280092 340504 373456 383067 420138 510756 560184 681008 723571 766134 840276 1021512 1120368 1447142 1532268 1680552 2043024 2170713 2894284 3064536 3361104 4341426 5788568 6129072 6512139 8682852 11577136 13024278 17365704 26048556 34731408 52097112 104194224