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194974164 = 2232711371901
BaseRepresentation
bin10111001111100…
…01000111010100
3111120212201021100
423213301013110
5344403133124
631202550100
74555152540
oct1347610724
9446781240
10194974164
11a006aa80
1255368330
1331517838
141bc74a20
15121b51c9
hexb9f11d4

194974164 has 144 divisors (see below), whose sum is σ = 631403136. Its totient is φ = 49248000.

The previous prime is 194974141. The next prime is 194974177. The reversal of 194974164 is 461479491.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101614 + ... + 103514.

It is an arithmetic number, because the mean of its divisors is an integer number (4384744).

Almost surely, 2194974164 is an apocalyptic number.

194974164 is a gapful number since it is divisible by the number (14) 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 194974164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315701568).

194974164 is an abundant number, since it is smaller than the sum of its proper divisors (436428972).

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

194974164 is a wasteful number, since it uses less digits than its factorization.

194974164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1961 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 194974164 is about 13963.3149359312. The cubic root of 194974164 is about 579.8633883565.

The spelling of 194974164 in words is "one hundred ninety-four million, nine hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 37 42 44 63 66 74 77 84 99 111 126 132 148 154 198 222 231 252 259 308 333 396 407 444 462 518 666 693 777 814 924 1036 1221 1332 1386 1554 1628 1901 2331 2442 2772 2849 3108 3663 3802 4662 4884 5698 5703 7326 7604 8547 9324 11396 11406 13307 14652 17094 17109 20911 22812 25641 26614 34188 34218 39921 41822 51282 53228 62733 68436 70337 79842 83644 102564 119763 125466 140674 146377 159684 188199 211011 239526 250932 281348 292754 376398 422022 439131 479052 492359 585508 633033 752796 773707 844044 878262 984718 1266066 1317393 1477077 1547414 1756524 1969436 2321121 2532132 2634786 2954154 3094828 4431231 4642242 5269572 5415949 5908308 6963363 8862462 9284484 10831898 13926726 16247847 17724924 21663796 27853452 32495694 48743541 64991388 97487082 194974164