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225006247248 = 24329161642419
BaseRepresentation
bin1101000110001101101…
…0101101110101010000
3210111210001221122220220
43101203122231311100
512141303044402443
6251211052433040
722153602354636
oct3214332556520
9714701848826
10225006247248
1187474184942
1237736178780
13182aac32093
14ac67213356
155cbd97ca83
hex34636add50

225006247248 has 40 divisors (see below), whose sum is σ = 601309802400. Its totient is φ = 72415803264.

The previous prime is 225006247247. The next prime is 225006247253. The reversal of 225006247248 is 842742600522.

225006247248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2250062472482 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225006247247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 80819818 + ... + 80822601.

It is an arithmetic number, because the mean of its divisors is an integer number (15032745060).

Almost surely, 2225006247248 is an apocalyptic number.

It is an amenable number.

225006247248 is an abundant number, since it is smaller than the sum of its proper divisors (376303555152).

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

225006247248 is a wasteful number, since it uses less digits than its factorization.

225006247248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161642459 (or 161642453 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 225006247248 in words is "two hundred twenty-five billion, six million, two hundred forty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 161642419 323284838 484927257 646569676 969854514 1293139352 1939709028 2586278704 3879418056 4687630151 7758836112 9375260302 14062890453 18750520604 28125780906 37501041208 56251561812 75002082416 112503123624 225006247248