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194204416 = 2872937101
BaseRepresentation
bin10111001001101…
…01001100000000
3111112102121101011
423210311030000
5344204020131
631134250304
74545465430
oct1344651400
9445377334
10194204416
119a69471a
1255056994
1331308373
141bb142c0
15120b20b1
hexb935300

194204416 has 144 divisors (see below), whose sum is σ = 475352640. Its totient is φ = 77414400.

The previous prime is 194204401. The next prime is 194204471. The reversal of 194204416 is 614402491.

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 15 ways as a sum of consecutive naturals, for example, 1922766 + ... + 1922866.

It is an arithmetic number, because the mean of its divisors is an integer number (3301060).

Almost surely, 2194204416 is an apocalyptic number.

194204416 is a gapful number since it is divisible by the number (16) 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 194204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237676320).

194204416 is an abundant number, since it is smaller than the sum of its proper divisors (281148224).

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

194204416 is a wasteful number, since it uses less digits than its factorization.

194204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 194204416 is about 13935.7244519257. The cubic root of 194204416 is about 579.0992916282.

The spelling of 194204416 in words is "one hundred ninety-four million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 37 56 58 64 74 101 112 116 128 148 202 203 224 232 256 259 296 404 406 448 464 518 592 707 808 812 896 928 1036 1073 1184 1414 1616 1624 1792 1856 2072 2146 2368 2828 2929 3232 3248 3712 3737 4144 4292 4736 5656 5858 6464 6496 7424 7474 7511 8288 8584 9472 11312 11716 12928 12992 14948 15022 16576 17168 20503 22624 23432 25856 25984 26159 29896 30044 33152 34336 41006 45248 46864 51968 52318 59792 60088 66304 68672 82012 90496 93728 104636 108373 119584 120176 137344 164024 180992 187456 209272 216746 239168 240352 274688 328048 374912 418544 433492 478336 480704 656096 749824 758611 837088 866984 956672 961408 1312192 1517222 1674176 1733968 1922816 2624384 3034444 3348352 3467936 5248768 6068888 6696704 6935872 12137776 13871744 24275552 27743488 48551104 97102208 194204416