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222833380 = 22573112953
BaseRepresentation
bin11010100100000…
…10101011100100
3120112022002221011
431102002223210
5424021132010
634040032004
75344024000
oct1522025344
9515262834
10222833380
11104869020
1262762604
1337220293
1421847700
1514869a8a
hexd482ae4

222833380 has 96 divisors (see below), whose sum is σ = 595526400. Its totient is φ = 69431040.

The previous prime is 222833339. The next prime is 222833381. The reversal of 222833380 is 83338222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (222833381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73984 + ... + 76936.

It is an arithmetic number, because the mean of its divisors is an integer number (6203400).

Almost surely, 2222833380 is an apocalyptic number.

222833380 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 222833380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297763200).

222833380 is an abundant number, since it is smaller than the sum of its proper divisors (372693020).

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

222833380 is a wasteful number, since it uses less digits than its factorization.

222833380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 222833380 is about 14927.6046303484. The cubic root of 222833380 is about 606.2616297057.

The spelling of 222833380 in words is "two hundred twenty-two million, eight hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 343 385 490 539 686 770 980 1078 1372 1540 1715 2156 2695 2953 3430 3773 5390 5906 6860 7546 10780 11812 14765 15092 18865 20671 29530 32483 37730 41342 59060 64966 75460 82684 103355 129932 144697 162415 206710 227381 289394 324830 413420 454762 578788 649660 723485 909524 1012879 1136905 1446970 1591667 2025758 2273810 2893940 3183334 4051516 4547620 5064395 6366668 7958335 10128790 11141669 15916670 20257580 22283338 31833340 44566676 55708345 111416690 222833380