Search a number
-
+
225150983577 = 321323733972887
BaseRepresentation
bin1101000110110000001…
…0110101110110011001
3210112011011022000211200
43101230002311312121
512142102122433302
6251233302544413
722160310532512
oct3215402656631
9715134260750
10225150983577
1187538951443
1237776738109
1318301c0a190
14ac7c52ba09
155ccb51c81c
hex346c0b5d99

225150983577 has 96 divisors (see below), whose sum is σ = 371530618368. Its totient is φ = 130340441088.

The previous prime is 225150983567. The next prime is 225150983581. The reversal of 225150983577 is 775389051522.

225150983577 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 509 + 83 + 57 + 7 = 666.

225150983577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-225150983577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225150983507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77986428 + ... + 77989314.

It is an arithmetic number, because the mean of its divisors is an integer number (3870110608).

Almost surely, 2225150983577 is an apocalyptic number.

It is an amenable number.

225150983577 is a deficient number, since it is larger than the sum of its proper divisors (146379634791).

225150983577 is a wasteful number, since it uses less digits than its factorization.

225150983577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 225150983577 in words is "two hundred twenty-five billion, one hundred fifty million, nine hundred eighty-three thousand, five hundred seventy-seven".

Divisors: 1 3 9 13 23 39 69 73 117 207 219 299 397 657 897 949 1191 1679 2691 2847 2887 3573 5037 5161 8541 8661 9131 15111 15483 21827 25983 27393 28981 37531 46449 65481 66401 82179 86943 112593 118703 196443 199203 210751 260829 337779 356109 376753 597609 632253 666563 863213 1068327 1130259 1146139 1896759 1999689 2589639 2739763 3390777 3438417 4847273 5999067 7768917 8219289 8665319 10315251 14541819 14899807 24657867 25995957 26361197 43625457 44699421 63014549 77987871 79083591 83668147 134098263 189043647 237250773 251004441 342695561 567130941 753013323 1028086683 1087685911 1924367381 3084260049 3263057733 5773102143 9789173199 17319306429 25016775953 75050327859 225150983577