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248066430 = 23517347797
BaseRepresentation
bin11101100100100…
…11000101111110
3122021210002011120
432302103011332
51002001111210
640340531410
76101346513
oct1662230576
9567702146
10248066430
11118032a87
126b0b0b66
133c516591
1424d3530a
1516ba1270
hexec9317e

248066430 has 32 divisors (see below), whose sum is σ = 598813344. Its totient is φ = 65767296.

The previous prime is 248066417. The next prime is 248066453. The reversal of 248066430 is 34660842.

248066430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248066391 and 248066400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18709 + ... + 29088.

It is an arithmetic number, because the mean of its divisors is an integer number (18712917).

Almost surely, 2248066430 is an apocalyptic number.

248066430 is an abundant number, since it is smaller than the sum of its proper divisors (350746914).

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

248066430 is a wasteful number, since it uses less digits than its factorization.

248066430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47980.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 248066430 is about 15750.1247614106. The cubic root of 248066430 is about 628.3322227597.

The spelling of 248066430 in words is "two hundred forty-eight million, sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 173 346 519 865 1038 1730 2595 5190 47797 95594 143391 238985 286782 477970 716955 1433910 8268881 16537762 24806643 41344405 49613286 82688810 124033215 248066430