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247933140 = 223572132499
BaseRepresentation
bin11101100011100…
…10100011010100
3122021112022022220
432301302203110
51001432330030
640334022340
76100253100
oct1661624324
9567468286
10247933140
11117a51924
126b0479b0
133c49aa00
1424cdc900
1516b76a10
hexec728d4

247933140 has 216 divisors, whose sum is σ = 876204000. Its totient is φ = 52206336.

The previous prime is 247933129. The next prime is 247933171. The reversal of 247933140 is 41339742.

247933140 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 2×2479331402 = 122941683820519200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 496611 + ... + 497109.

It is an arithmetic number, because the mean of its divisors is an integer number (4056500).

Almost surely, 2247933140 is an apocalyptic number.

247933140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247933140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438102000).

247933140 is an abundant number, since it is smaller than the sum of its proper divisors (628270860).

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

247933140 is a wasteful number, since it uses less digits than its factorization.

247933140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 247933140 is about 15745.8927978060. The cubic root of 247933140 is about 628.2196649976.

The spelling of 247933140 in words is "two hundred forty-seven million, nine hundred thirty-three thousand, one hundred forty".