Search a number
-
+
193225725 = 325271119587
BaseRepresentation
bin10111000010001…
…10001111111101
3111110120212212100
423201012033331
5343431210400
631101255313
74534251210
oct1341061775
9443525770
10193225725
119a086390
1254864539
1331054a64
141b93b777
1511e6c100
hexb8463fd

193225725 has 144 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 75945600.

The previous prime is 193225699. The next prime is 193225727. The reversal of 193225725 is 527522391.

It is not a de Polignac number, because 193225725 - 25 = 193225693 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 193225725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193225727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 328882 + ... + 329468.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2193225725 is an apocalyptic number.

193225725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

193225725 is an abundant number, since it is smaller than the sum of its proper divisors (261745155).

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

193225725 is a wasteful number, since it uses less digits than its factorization.

193225725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 193225725 is about 13900.5656359732. The cubic root of 193225725 is about 578.1248647674.

The spelling of 193225725 in words is "one hundred ninety-three million, two hundred twenty-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 19 21 25 33 35 45 55 57 63 75 77 95 99 105 133 165 171 175 209 225 231 275 285 315 385 399 475 495 525 587 627 665 693 825 855 1045 1155 1197 1425 1463 1575 1761 1881 1925 1995 2475 2935 3135 3325 3465 4109 4275 4389 5225 5283 5775 5985 6457 7315 8805 9405 9975 11153 12327 13167 14675 15675 17325 19371 20545 21945 26415 29925 32285 33459 36575 36981 44025 45199 47025 55765 58113 61635 65835 78071 96855 100377 102725 109725 122683 132075 135597 161425 167295 184905 225995 234213 278825 290565 308175 329175 368049 390355 406791 484275 501885 613415 677985 702639 836475 858781 924525 1104147 1129975 1171065 1452825 1840245 1951775 2033955 2509425 2576343 3067075 3389925 3513195 4293905 5520735 5855325 7729029 9201225 10169775 12881715 17565975 21469525 27603675 38645145 64408575 193225725