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248107224 = 233103167601
BaseRepresentation
bin11101100100111…
…01000011011000
3122021212011010110
432302131003120
51002003412344
640341444320
76101606451
oct1662350330
9567764113
10248107224
111180606a2
126b1106a0
133c52c011
1424d46128
1516bad3b9
hexec9d0d8

248107224 has 64 divisors (see below), whose sum is σ = 631088640. Its totient is φ = 81273600.

The previous prime is 248107199. The next prime is 248107243. The reversal of 248107224 is 422701842.

248107224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 248107191 and 248107200.

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, 412524 + ... + 413124.

It is an arithmetic number, because the mean of its divisors is an integer number (9860760).

Almost surely, 2248107224 is an apocalyptic number.

248107224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248107224 is an abundant number, since it is smaller than the sum of its proper divisors (382981416).

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

248107224 is a wasteful number, since it uses less digits than its factorization.

248107224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 248107224 is about 15751.4197455341. The cubic root of 248107224 is about 628.3666635071.

The spelling of 248107224 in words is "two hundred forty-eight million, one hundred seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 103 167 206 309 334 412 501 601 618 668 824 1002 1202 1236 1336 1803 2004 2404 2472 3606 4008 4808 7212 14424 17201 34402 51603 61903 68804 100367 103206 123806 137608 185709 200734 206412 247612 301101 371418 401468 412824 495224 602202 742836 802936 1204404 1485672 2408808 10337801 20675602 31013403 41351204 62026806 82702408 124053612 248107224