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247995220 = 225111979751
BaseRepresentation
bin11101100100000…
…01101101010100
3122021122110111011
432302001231110
51001441321340
640335222004
76100632064
oct1662015524
9567573434
10247995220
11117a94530
126b077904
133c4c0045
1424d173a4
1516b8a0ea
hexec81b54

247995220 has 96 divisors (see below), whose sum is σ = 606412800. Its totient is φ = 84240000.

The previous prime is 247995217. The next prime is 247995227. The reversal of 247995220 is 22599742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247995227) by changing a digit.

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, 329845 + ... + 330595.

It is an arithmetic number, because the mean of its divisors is an integer number (6316800).

Almost surely, 2247995220 is an apocalyptic number.

247995220 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 247995220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303206400).

247995220 is an abundant number, since it is smaller than the sum of its proper divisors (358417580).

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

247995220 is a wasteful number, since it uses less digits than its factorization.

247995220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 247995220 is about 15747.8639821406. The cubic root of 247995220 is about 628.2720939471.

The spelling of 247995220 in words is "two hundred forty-seven million, nine hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 79 95 110 158 190 209 220 316 380 395 418 751 790 836 869 1045 1501 1502 1580 1738 2090 3002 3004 3476 3755 4180 4345 6004 7505 7510 8261 8690 14269 15010 15020 16511 16522 17380 28538 30020 33022 33044 41305 57076 59329 66044 71345 82555 82610 118658 142690 156959 165110 165220 237316 285380 296645 313918 330220 593290 627836 652619 784795 1127251 1186580 1305238 1569590 2254502 2610476 3139180 3263095 4509004 5636255 6526190 11272510 12399761 13052380 22545020 24799522 49599044 61998805 123997610 247995220