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222830080 = 2951141193
BaseRepresentation
bin11010100100000…
…01111000000000
3120112021221101221
431102001320000
5424021030310
634040004424
75344011244
oct1522017000
9515257357
10222830080
111048665a0
1262760714
133721b925
1421846424
1514868ada
hexd481e00

222830080 has 160 divisors (see below), whose sum is σ = 600149088. Its totient is φ = 78643200.

The previous prime is 222830071. The next prime is 222830087. The reversal of 222830080 is 80038222.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222830087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154464 + ... + 1154656.

Almost surely, 2222830080 is an apocalyptic number.

222830080 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 222830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300074544).

222830080 is an abundant number, since it is smaller than the sum of its proper divisors (377319008).

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

222830080 is a wasteful number, since it uses less digits than its factorization.

222830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 222830080 is about 14927.4940964651. The cubic root of 222830080 is about 606.2586369266.

The spelling of 222830080 in words is "two hundred twenty-two million, eight hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 128 160 164 176 193 205 220 256 320 328 352 386 410 440 451 512 640 656 704 772 820 880 902 965 1280 1312 1408 1544 1640 1760 1804 1930 2123 2255 2560 2624 2816 3088 3280 3520 3608 3860 4246 4510 5248 5632 6176 6560 7040 7216 7720 7913 8492 9020 10496 10615 12352 13120 14080 14432 15440 15826 16984 18040 20992 21230 24704 26240 28160 28864 30880 31652 33968 36080 39565 42460 49408 52480 57728 61760 63304 67936 72160 79130 84920 87043 98816 104960 115456 123520 126608 135872 144320 158260 169840 174086 230912 247040 253216 271744 288640 316520 339680 348172 435215 494080 506432 543488 577280 633040 679360 696344 870430 1012864 1086976 1154560 1266080 1358720 1392688 1740860 2025728 2532160 2717440 2785376 3481720 4051456 5064320 5434880 5570752 6963440 10128640 11141504 13926880 20257280 22283008 27853760 44566016 55707520 111415040 222830080