Search a number
-
+
225205003430 = 251131283723279
BaseRepresentation
bin1101000110111101000…
…0111010010010100110
3210112021220221112010222
43101233100322102212
512142204440102210
6251242512444342
722161534642011
oct3215720722246
9715256845128
10225205003430
1187566398350
12377908496b2
13183101721a4
14ac85790378
155cd113d655
hex346f43a4a6

225205003430 has 64 divisors (see below), whose sum is σ = 456666439680. Its totient is φ = 79219689600.

The previous prime is 225205003421. The next prime is 225205003487. The reversal of 225205003430 is 34300502522.

225205003430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225205003430.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9662531 + ... + 9685809.

It is an arithmetic number, because the mean of its divisors is an integer number (7135413120).

Almost surely, 2225205003430 is an apocalyptic number.

225205003430 is an abundant number, since it is smaller than the sum of its proper divisors (231461436250).

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

225205003430 is a wasteful number, since it uses less digits than its factorization.

225205003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26165.

The product of its (nonzero) digits is 7200, while the sum is 26.

Adding to 225205003430 its reverse (34300502522), we get a palindrome (259505505952).

The spelling of 225205003430 in words is "two hundred twenty-five billion, two hundred five million, three thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 310 341 682 1705 2837 3410 5674 14185 23279 28370 31207 46558 62414 87947 116395 156035 175894 232790 256069 312070 439735 512138 721649 879470 967417 1280345 1443298 1934834 2560690 3608245 4837085 7216490 7938139 9674170 15876278 39690695 66042523 79381390 132085046 330212615 660425230 726467753 1452935506 2047318213 3632338765 4094636426 7264677530 10236591065 20473182130 22520500343 45041000686 112602501715 225205003430