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222220020 = 2235112314639
BaseRepresentation
bin11010011111011…
…00111011110100
3120111010221120010
431033230323310
5423342020040
634014540220
75335560531
oct1517547364
9514127503
10222220020
1110448a210
1262507670
1337067049
1421727d88
1514797e80
hexd3ecef4

222220020 has 96 divisors (see below), whose sum is σ = 708341760. Its totient is φ = 51525760.

The previous prime is 222220013. The next prime is 222220021. The reversal of 222220020 is 20022222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 222219978 and 222220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222220021) 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, 7861 + ... + 22499.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2222220020 is an apocalyptic number.

222220020 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 222220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354170880).

222220020 is an abundant number, since it is smaller than the sum of its proper divisors (486121740).

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

222220020 is a wasteful number, since it uses less digits than its factorization.

222220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14685 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 222220020 is about 14907.0459850367. The cubic root of 222220020 is about 605.7048634191.

Adding to 222220020 its reverse (20022222), we get a palindrome (242242242).

The spelling of 222220020 in words is "two hundred twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 14639 15180 29278 43917 58556 73195 87834 146390 161029 175668 219585 292780 322058 336697 439170 483087 644116 673394 805145 878340 966174 1010091 1346788 1610290 1683485 1932348 2020182 2415435 3220580 3366970 3703667 4040364 4830870 5050455 6733940 7407334 9661740 10100910 11111001 14814668 18518335 20201820 22222002 37036670 44444004 55555005 74073340 111110010 222220020