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214310020248 = 233210492837491
BaseRepresentation
bin1100011110010111011…
…1110110010010011000
3202111011122010000220100
43013211313312102120
512002401331121443
6242241435255400
721324542054442
oct3074567662230
9674148100810
10214310020248
1182985468215
123564bbaa560
1317294c2698c
14a530819492
1558948e53d3
hex31e5df6498

214310020248 has 48 divisors (see below), whose sum is σ = 580976487000. Its totient is φ = 71368548480.

The previous prime is 214310020247. The next prime is 214310020259. The reversal of 214310020248 is 842020013412.

214310020248 is a `hidden beast` number, since 21 + 431 + 0 + 0 + 202 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214310020247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1343218 + ... + 1494273.

Almost surely, 2214310020248 is an apocalyptic number.

It is an amenable number.

214310020248 is an abundant number, since it is smaller than the sum of its proper divisors (366666466752).

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

214310020248 is a wasteful number, since it uses less digits than its factorization.

214310020248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838552 (or 2838545 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 214310020248 in words is "two hundred fourteen billion, three hundred ten million, twenty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1049 2098 3147 4196 6294 8392 9441 12588 18882 25176 37764 75528 2837491 5674982 8512473 11349964 17024946 22699928 25537419 34049892 51074838 68099784 102149676 204299352 2976528059 5953056118 8929584177 11906112236 17859168354 23812224472 26788752531 35718336708 53577505062 71436673416 107155010124 214310020248