Search a number
-
+
225424235610 = 23257675340541
BaseRepresentation
bin1101000111110001010…
…1001101110001011010
3210112212012110200011100
43101330111031301122
512143132101014420
6251320343412230
722200136246620
oct3217425156132
9715765420140
10225424235610
1187669116772
1237832154076
1318346701282
14aca693b510
155ce54e6190
hex347c54dc5a

225424235610 has 96 divisors (see below), whose sum is σ = 679829634432. Its totient is φ = 50756492160.

The previous prime is 225424235591. The next prime is 225424235627. The reversal of 225424235610 is 16532424522.

225424235610 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 2 + 4 + 2 + 35 + 610 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2628061 + ... + 2712480.

It is an arithmetic number, because the mean of its divisors is an integer number (7081558692).

Almost surely, 2225424235610 is an apocalyptic number.

225424235610 is an abundant number, since it is smaller than the sum of its proper divisors (454405398822).

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

225424235610 is a wasteful number, since it uses less digits than its factorization.

225424235610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340628 (or 5340625 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 225424235610 in words is "two hundred twenty-five billion, four hundred twenty-four million, two hundred thirty-five thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 315 335 402 469 603 630 670 938 1005 1206 1407 2010 2345 2814 3015 4221 4690 6030 7035 8442 14070 21105 42210 5340541 10681082 16021623 26702705 32043246 37383787 48064869 53405410 74767574 80108115 96129738 112151361 160216230 186918935 224302722 240324345 336454083 357816247 373837870 480648690 560756805 672908166 715632494 1073448741 1121513610 1682270415 1789081235 2146897482 2504713729 3220346223 3364540830 3578162470 5009427458 5367243705 6440692446 7514141187 10734487410 12523568645 15028282374 16101731115 22542423561 25047137290 32203462230 37570705935 45084847122 75141411870 112712117805 225424235610