Search a number
-
+
193778325 = 34521317433
BaseRepresentation
bin10111000110011…
…01001010010101
3111111121221220000
423203031022111
5344101401300
631121201513
74542042246
oct1343151225
9444557800
10193778325
119a423584
1254a90299
13311b9440
141ba42ccd
151202ac00
hexb8cd295

193778325 has 120 divisors (see below), whose sum is σ = 410239368. Its totient is φ = 89579520.

The previous prime is 193778311. The next prime is 193778353. The reversal of 193778325 is 523877391.

It is a happy number.

193778325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 100520676 + 93257649 = 10026^2 + 9657^2 .

It is not a de Polignac number, because 193778325 - 24 = 193778309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447309 + ... + 447741.

Almost surely, 2193778325 is an apocalyptic number.

193778325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

193778325 is an abundant number, since it is smaller than the sum of its proper divisors (216461043).

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

193778325 is a wasteful number, since it uses less digits than its factorization.

193778325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 193778325 is about 13920.4283339271. The cubic root of 193778325 is about 578.6754604230.

The spelling of 193778325 in words is "one hundred ninety-three million, seven hundred seventy-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 81 85 117 135 153 195 221 225 255 325 351 405 425 433 459 585 663 675 765 975 1053 1105 1275 1299 1377 1755 1989 2025 2165 2295 2925 3315 3825 3897 5265 5525 5629 5967 6495 6885 7361 8775 9945 10825 11475 11691 16575 16887 17901 19485 22083 26325 28145 29835 32475 34425 35073 36805 49725 50661 58455 66249 84435 89505 95693 97425 110415 140725 149175 151983 175365 184025 198747 253305 287079 292275 331245 422175 447525 455949 478465 552075 596241 759915 861237 876825 993735 1266525 1435395 1656225 2279745 2392325 2583711 2981205 3799575 4306185 4968675 7176975 7751133 11398725 12918555 14906025 21530925 38755665 64592775 193778325