Search a number
-
+
225256062402 = 234747612
BaseRepresentation
bin1101000111001001001…
…1101011110111000010
3210112102111000120220000
43101302103223313002
512142311022444102
6251251535100430
722163024640000
oct3216223536702
9715374016800
10225256062402
11875921a1748
12377a5971716
131831a90b5b7
14ac8c481a70
155cd587701c
hex34724ebdc2

225256062402 has 150 divisors (see below), whose sum is σ = 589603578729. Its totient is φ = 64274303520.

The previous prime is 225256062373. The next prime is 225256062407. The reversal of 225256062402 is 204260652522.

225256062402 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 5 + 606 + 2 + 40 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124156864881 + 101099197521 = 352359^2 + 317961^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335601.

It is not an unprimeable number, because it can be changed into a prime (225256062407) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 295999702 + ... + 296000462.

Almost surely, 2225256062402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225256062402

225256062402 is an abundant number, since it is smaller than the sum of its proper divisors (364347516327).

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

225256062402 is an frugal number, since it uses more digits than its factorization.

225256062402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 773 counting only the distinct ones).

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

The spelling of 225256062402 in words is "two hundred twenty-five billion, two hundred fifty-six million, sixty-two thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 761 882 1029 1134 1323 1522 2058 2283 2401 2646 3087 3969 4566 4802 5327 6174 6849 7203 7938 9261 10654 13698 14406 15981 18522 20547 21609 27783 31962 37289 41094 43218 47943 55566 61641 64827 74578 95886 111867 123282 129654 143829 194481 223734 261023 287658 335601 388962 431487 522046 579121 671202 783069 862974 1006803 1158242 1566138 1737363 1827161 2013606 2349207 3020409 3474726 3654322 4053847 4698414 5212089 5481483 6040818 7047621 8107694 10424178 10962966 12161541 14095242 15636267 16444449 21142863 24323082 28376929 31272534 32888898 36484623 42285726 46908801 49333347 56753858 72969246 85130787 93817602 98666694 109453869 148000041 170261574 198638503 218907738 255392361 296000082 328361607 397277006 510784722 595915509 656723214 766177083 1191831018 1390469521 1532354166 1787746527 2298531249 2780939042 3575493054 4171408563 4597062498 5363239581 8342817126 10726479162 12514225689 16089718743 25028451378 32179437486 37542677067 75085354134 112628031201 225256062402