Search a number
-
+
194199936 = 2737210321
BaseRepresentation
bin10111001001101…
…00000110000000
3111112102101020020
423210310012000
5344203344221
631134213440
74545446400
oct1344640600
9445371206
10194199936
119a691317
1255054280
1331306308
141bb12800
15120b0ac6
hexb934180

194199936 has 96 divisors (see below), whose sum is σ = 600121080. Its totient is φ = 55480320.

The previous prime is 194199923. The next prime is 194199983. The reversal of 194199936 is 639991491.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13656 + ... + 23976.

Almost surely, 2194199936 is an apocalyptic number.

194199936 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 194199936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300060540).

194199936 is an abundant number, since it is smaller than the sum of its proper divisors (405921144).

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

194199936 is a wasteful number, since it uses less digits than its factorization.

194199936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10333 counting only the distinct ones).

The product of its digits is 472392, while the sum is 51.

The square root of 194199936 is about 13935.5637130329. The cubic root of 194199936 is about 579.0948386145.

The spelling of 194199936 in words is "one hundred ninety-four million, one hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 10321 18816 20642 30963 41284 61926 72247 82568 123852 144494 165136 216741 247704 288988 330272 433482 495408 505729 577976 660544 866964 990816 1011458 1155952 1321088 1517187 1733928 1981632 2022916 2311904 3034374 3467856 3963264 4045832 4623808 6068748 6935712 8091664 9247616 12137496 13871424 16183328 24274992 27742848 32366656 48549984 64733312 97099968 194199936