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247073220 = 22335676829
BaseRepresentation
bin11101011101000…
…00100111000100
3122012220121202000
432232200213010
51001222320340
640303345300
76060042042
oct1656404704
9565817660
10247073220
11117514849
126a8b2230
133c259494
1424b57392
1516a56d30
hexeba09c4

247073220 has 96 divisors (see below), whose sum is σ = 780259200. Its totient is φ = 64893312.

The previous prime is 247073209. The next prime is 247073249. The reversal of 247073220 is 22370742.

It is a super-2 number, since 2×2470732202 = 122090352082336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32766 + ... + 39594.

It is an arithmetic number, because the mean of its divisors is an integer number (8127700).

Almost surely, 2247073220 is an apocalyptic number.

247073220 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 247073220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390129600).

247073220 is an abundant number, since it is smaller than the sum of its proper divisors (533185980).

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

247073220 is a wasteful number, since it uses less digits than its factorization.

247073220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 247073220 is about 15718.5629114115. The cubic root of 247073220 is about 627.4925275429.

The spelling of 247073220 in words is "two hundred forty-seven million, seventy-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 6829 7236 9045 12060 13658 18090 20487 27316 34145 36180 40974 61461 68290 81948 102435 122922 136580 184383 204870 245844 307305 368766 409740 457543 614610 737532 915086 921915 1229220 1372629 1830172 1843830 2287715 2745258 3687660 4117887 4575430 5490516 6863145 8235774 9150860 12353661 13726290 16471548 20589435 24707322 27452580 41178870 49414644 61768305 82357740 123536610 247073220