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194023296 = 2733311811
BaseRepresentation
bin10111001000010…
…00111110000000
3111112002101221000
423210020332000
5344132221141
631130332000
74544112405
oct1344107600
9445071830
10194023296
119a580635
1254b8a000
1331273aac
141baa82ac
15120785b6
hexb908f80

194023296 has 128 divisors (see below), whose sum is σ = 591436800. Its totient is φ = 62553600.

The previous prime is 194023243. The next prime is 194023309. The reversal of 194023296 is 692320491.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 194023296.

It is a congruent number.

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, 106231 + ... + 108041.

It is an arithmetic number, because the mean of its divisors is an integer number (4620600).

Almost surely, 2194023296 is an apocalyptic number.

194023296 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 194023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295718400).

194023296 is an abundant number, since it is smaller than the sum of its proper divisors (397413504).

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

194023296 is a wasteful number, since it uses less digits than its factorization.

194023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 194023296 is about 13929.2245297432. The cubic root of 194023296 is about 578.9192080350.

The spelling of 194023296 in words is "one hundred ninety-four million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1811 1984 2232 2976 3348 3456 3622 3968 4464 5433 5952 6696 7244 8928 10866 11904 13392 14488 16299 17856 21732 26784 28976 32598 35712 43464 48897 53568 56141 57952 65196 86928 97794 107136 112282 115904 130392 168423 173856 195588 224564 231808 260784 336846 347712 391176 449128 505269 521568 673692 695424 782352 898256 1010538 1043136 1347384 1515807 1564704 1796512 2021076 2086272 2694768 3031614 3129408 3593024 4042152 5389536 6063228 6258816 7186048 8084304 10779072 12126456 16168608 21558144 24252912 32337216 48505824 64674432 97011648 194023296