Search a number
-
+
194974200 = 233252195701
BaseRepresentation
bin10111001111100…
…01000111111000
3111120212201022200
423213301013320
5344403133300
631202550200
74555152621
oct1347610770
9446781280
10194974200
11a0070003
1255368360
1331517865
141bc74a48
15121b5200
hexb9f11f8

194974200 has 144 divisors (see below), whose sum is σ = 689371800. Its totient is φ = 49248000.

The previous prime is 194974183. The next prime is 194974211. The reversal of 194974200 is 2479491.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31350 + ... + 37050.

Almost surely, 2194974200 is an apocalyptic number.

194974200 is a gapful number since it is divisible by the number (10) 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 194974200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344685900).

194974200 is an abundant number, since it is smaller than the sum of its proper divisors (494397600).

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

194974200 is a wasteful number, since it uses less digits than its factorization.

194974200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 194974200 is about 13963.3162250233. The cubic root of 194974200 is about 579.8634240451.

The spelling of 194974200 in words is "one hundred ninety-four million, nine hundred seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 5701 6840 8550 11400 11402 17100 17103 22804 28505 34200 34206 45608 51309 57010 68412 85515 102618 108319 114020 136824 142525 171030 205236 216638 228040 256545 285050 324957 342060 410472 427575 433276 513090 541595 570100 649914 684120 855150 866552 974871 1026180 1083190 1140200 1282725 1299828 1624785 1710300 1949742 2052360 2166380 2565450 2599656 2707975 3249570 3420600 3899484 4332760 4874355 5130900 5415950 6499140 7798968 8123925 9748710 10261800 10831900 12998280 16247850 19497420 21663800 24371775 32495700 38994840 48743550 64991400 97487100 194974200