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225409340709 = 32719947198851
BaseRepresentation
bin1101000111101101110…
…0011001010100100101
3210112211011102221012100
43101323130121110211
512143114242400314
6251315052242313
722166565532350
oct3217334312445
9715734387170
10225409340709
1187660772a33
1237829170399
13183435b7717
14aca4981297
155ce4052c09
hex347b719525

225409340709 has 48 divisors (see below), whose sum is σ = 392104327680. Its totient is φ = 121896640800.

The previous prime is 225409340699. The next prime is 225409340719. The reversal of 225409340709 is 907043904522.

225409340709 is a `hidden beast` number, since 2 + 2 + 540 + 9 + 34 + 0 + 70 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (225409340699) and next prime (225409340719).

It is not a de Polignac number, because 225409340709 - 216 = 225409275173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225409340719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034134 + ... + 1232984.

It is an arithmetic number, because the mean of its divisors is an integer number (8168840160).

Almost surely, 2225409340709 is an apocalyptic number.

It is an amenable number.

225409340709 is a deficient number, since it is larger than the sum of its proper divisors (166694986971).

225409340709 is a wasteful number, since it uses less digits than its factorization.

225409340709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199830 (or 199827 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 225409340709 in words is "two hundred twenty-five billion, four hundred nine million, three hundred forty thousand, seven hundred nine".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 947 1197 2841 6629 8523 17993 19887 53979 59661 125951 161937 198851 377853 596553 1133559 1391957 1789659 3778169 4175871 11334507 12527613 26447183 34003521 79341549 188311897 238024647 564935691 1318183279 1694807073 3577926043 3954549837 10733778129 11863649511 25045482301 32201334387 75136446903 225409340709