Search a number
-
+
225645604776 = 233241233328061
BaseRepresentation
bin1101001000100110000…
…1101010111110101000
3210120102122000101120100
43102021201222332220
512144110233323101
6251354332225400
722205464665024
oct3221141527650
9716378011510
10225645604776
1187772074699
123789430b260
131838052ac47
14acc80c3384
155d09b71e86
hex348986afa8

225645604776 has 96 divisors (see below), whose sum is σ = 628717700520. Its totient is φ = 73065523200.

The previous prime is 225645604757. The next prime is 225645604801. The reversal of 225645604776 is 677406546522.

225645604776 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 4 + 560 + 4 + 7 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152469944676 + 73175660100 = 390474^2 + 270510^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523786 + ... + 851846.

Almost surely, 2225645604776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225645604776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314358850260).

225645604776 is an abundant number, since it is smaller than the sum of its proper divisors (403072095744).

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

225645604776 is a wasteful number, since it uses less digits than its factorization.

225645604776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328347 (or 328340 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 225645604776 in words is "two hundred twenty-five billion, six hundred forty-five million, six hundred four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 233 246 328 369 466 492 699 738 932 984 1398 1476 1864 2097 2796 2952 4194 5592 8388 9553 16776 19106 28659 38212 57318 76424 85977 114636 171954 229272 328061 343908 656122 687816 984183 1312244 1968366 2624488 2952549 3936732 5905098 7873464 11810196 13450501 23620392 26901002 40351503 53802004 76438213 80703006 107604008 121054509 152876426 161406012 229314639 242109018 305752852 322812024 458629278 484218036 611505704 687943917 917258556 968436072 1375887834 1834517112 2751775668 3133966733 5503551336 6267933466 9401900199 12535866932 18803800398 25071733864 28205700597 37607600796 56411401194 75215201592 112822802388 225645604776